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A217487
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Partial sums of the squares of the numbers in sequence A080253.
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5
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1, 10, 299, 21908, 2901717, 602319006, 180257075455, 73470070612264, 39124516839956393, 26373727254869321522, 21951183825927218885331, 22108623093930072226980540, 26501124576166085360405809789, 37282620382364481062065321327558
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = sum(c(k)^2,k=0..n), where c(n) = A080253(n).
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MATHEMATICA
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t[n_] := Sum[StirlingS2[n, k] k!, {k, 0, n}]; c[n_] := Sum[Binomial[n, k] 2^k t[k], {k, 0, n}]; Table[Sum[c[k]^2, {k, 0, n}], {n, 0, 100}]
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PROG
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(Maxima) t(n):=sum(stirling2(n, k)*k!, k, 0, n);
c(n):=sum(binomial(n, k)*2^k*t(k), k, 0, n);
makelist(sum(c(k)^2, k, 0, n), n, 0, 40);
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CROSSREFS
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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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