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A255185
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26-gonal numbers: a(n) = n*(12*n-11).
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10
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0, 1, 26, 75, 148, 245, 366, 511, 680, 873, 1090, 1331, 1596, 1885, 2198, 2535, 2896, 3281, 3690, 4123, 4580, 5061, 5566, 6095, 6648, 7225, 7826, 8451, 9100, 9773, 10470, 11191, 11936, 12705, 13498, 14315, 15156, 16021, 16910, 17823, 18760
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OFFSET
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0,3
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COMMENTS
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REFERENCES
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E. Deza and M. M. Deza, Figurate numbers, World Scientific Publishing (2012), page 6 (24th row of the table).
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LINKS
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FORMULA
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G.f.: x*(-1 - 23*x)/(-1 + x)^3.
Product_{n>=2} (1 - 1/a(n)) = 12/13. - Amiram Eldar, Jan 22 2021
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MATHEMATICA
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Table[n (12 n - 11), {n, 40}]
PolygonalNumber[26, Range[0, 40]] (* Requires Mathematica version 10 or later *) (* or *) LinearRecurrence[{3, -3, 1}, {0, 1, 26}, 50] (* Harvey P. Dale, Feb 02 2017 *)
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PROG
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CROSSREFS
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Cf. similar sequences listed in A255184.
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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