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A244971
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Number of regions in the symmetric representation of sigma(n) on the four quadrants.
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8
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1, 1, 4, 1, 4, 1, 4, 1, 8, 4, 4, 1, 4, 4, 8, 1, 4, 1, 4, 1, 12, 4, 4, 1, 8, 4, 12, 1, 4, 1, 4, 1, 12, 4, 8, 1, 4, 4, 12, 1, 4, 1, 4, 4, 8, 4, 4, 1, 8, 8, 12, 4, 4, 1, 12, 1, 12, 4, 4, 1, 4, 4, 16, 1, 12, 1, 4, 4, 12, 8, 4, 1, 4, 4, 12, 4, 8, 4, 4, 1, 16, 4, 4, 1, 12, 4, 12, 1, 4, 1
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OFFSET
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1,3
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COMMENTS
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Number of terraces at the n-th level (starting from the top) of the stepped pyramid described in A244050. - Omar E. Pol, Apr 20 2016
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LINKS
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FORMULA
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EXAMPLE
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Illustration of the top view of the stepped pyramid with 16 levels:
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. _ _ _| | _ _| | _ _ _ _ _ _ _ _ _ _ | |_ _ | |_ _ _
. | _ _ _|_| | _| |_ _ _ _ _ _ _ _ _ _| |_ | |_|_ _ _ |
. | | | _ _ _| _|_ _| _ _ _ _ _ _ _ _ |_ _|_ |_ _ _ | | |
. | | | | | _ _ _| | _| |_ _ _ _ _ _ _ _| |_ | |_ _ _ | | | | |
. | | | | | | | _ _|_| _| _ _ _ _ _ _ |_ |_|_ _ | | | | | | |
. | | | | | | | | | _ _| |_ _ _ _ _ _| |_ _ | | | | | | | | |
. | | | | | | | | | | | _ _| _ _ _ _ |_ _ | | | | | | | | | | |
. | | | | | | | | | | | | | _|_ _ _ _|_ | | | | | | | | | | | | |
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. | | | | | | | | | | | | | | | |_ _| | | | | | | | | | | | | | | |
. | | | | | | | | | | | | | |_|_ _ _ _|_| | | | | | | | | | | | | |
. | | | | | | | | | | | |_|_ |_ _ _ _| _|_| | | | | | | | | | | |
. | | | | | | | | | |_|_ |_ _ _ _ _ _| _|_| | | | | | | | | |
. | | | | | | | |_|_ _ |_ |_ _ _ _ _ _| _| _ _|_| | | | | | | |
. | | | | | |_|_ _ | |_ |_ _ _ _ _ _ _ _| _| | _ _|_| | | | | |
. | | | |_|_ _ |_|_ _| |_ _ _ _ _ _ _ _| |_ _|_| _ _|_| | | |
. | |_|_ _ _ | |_ |_ _ _ _ _ _ _ _ _ _| _| | _ _ _|_| |
. |_ _ _ | |_|_ | |_ _ _ _ _ _ _ _ _ _| | _|_| | _ _ _|
. | |_ |_ _ |_ _ _ _ _ _ _ _ _ _ _ _| _ _| _| |
. |_ |_ |_ | |_ _ _ _ _ _ _ _ _ _ _ _| | _| _| _|
. |_ |_ _| |_ _ _ _ _ _ _ _ _ _ _ _ _ _| |_ _| _|
. |_ _ | |_ _ _ _ _ _ _ _ _ _ _ _ _ _| | _ _|
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Note that the above diagram contains a hidden pattern, simpler, which emerges from the front view of every corner of the stepped pyramid.
For more information about the hidden pattern see A237593.
(End)
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PROG
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(PARI) lista() = {v = readvec("b237271.txt"); for (i=1, #v, vi = v[i]; if (vi == 1, w = 1, w = 4*(vi-1)); print1(w, ", "); ); } \\ Michel Marcus, Sep 29 2014
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CROSSREFS
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Cf. A000203, A196020, A235791, A236104, A237270, A237271, A237591, A237593, A239050, A239660, A239931-A239934, A244050, A244370, A244371, A244970, A245092.
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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