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A030016
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Inverse binomial transform of {1, primes}.
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3
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1, 1, 0, 1, -2, 5, -14, 37, -90, 205, -442, 899, -1700, 2913, -4302, 4747, -1080, -14001, 55336, -150395, 346164, -716967, 1369430, -2432789, 4002994, -5964749, 7525018, -6123027, -4900092, 40900519, -134308944, 348584679, -798958750
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OFFSET
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0,5
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LINKS
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FORMULA
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MAPLE
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b:= n-> `if`(n=1, 1, ithprime(n-1)):
a:= proc(n) option remember;
b(n+1) -add(binomial(n, k-1) *a(k-1), k=1..n)
end:
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MATHEMATICA
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b[n_] := If[n == 1, 1, Prime[n - 1]]; a[n_] := a[n] = b[n + 1] - Sum [Binomial[n, k - 1]*a[k - 1], {k, 1, n}]; Table[a[n], {n, 0, 35}] (* Jean-François Alcover, Mar 20 2014, after Alois P. Heinz *)
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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