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A372359
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Array read by upward antidiagonals: A(n, k) = A372358(A372282(n, k)), n,k >= 1.
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5
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0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 24, 4, 0, 0, 0, 256, 32, 6, 0, 0, 0, 0, 6144, 16, 0, 0, 0, 0, 0, 16777216, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 8, 4, 0, 0, 0, 0, 0, 0, 0, 1408, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6144, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16777216, 0, 88, 12
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refs;
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internal format)
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OFFSET
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1,10
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COMMENTS
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Zeros occur in the same locations as where they occur in A372353 and where 1's occur in array A372287.
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LINKS
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FORMULA
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EXAMPLE
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Array begins:
n\k| 1 2 3 4 5 6 7 8 9 10 11 12 13 14
---+----------------------------------------------------------------------------
1 | 0, 0, 0, 2, 4, 6, 0, 2, 4, 6, 0, 2, 12, 14,
2 | 0, 0, 0, 24, 32, 16, 0, 8, 0, 32, 0, 88, 96, 112,
3 | 0, 0, 0, 256, 6144, 0, 0, 1408, 0, 6144, 0, 0, 8192, 2560,
4 | 0, 0, 0, 0, 2^24, 0, 0, 0, 0, 2^24, 0, 0, 402653184, 6815744,
5 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2^56, 4947802324992,
6 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 31 * 2^79,
where 2^56 = 72057594037927936 and 31 * 2^79 = 18738350204026752207945728.
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PROG
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(PARI)
up_to = 91;
A371094(n) = { my(m=1+3*n, e=valuation(m, 2)); ((m*(2^e)) + (((4^e)-1)/3)); };
A372282sq(n, k) = if(1==n, 2*k-1, A371094(A372282sq(n-1, k)));
A372359sq(n, k) = A372358(A372282sq(n, k));
A372359list(up_to) = { my(v = vector(up_to), i=0); for(a=1, oo, for(col=1, a, i++; if(i > up_to, return(v)); v[i] = A372359sq((a-(col-1)), col))); (v); };
v372359 = A372359list(up_to);
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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