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A064338
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Row sums of signed triangle A064334.
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3
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1, 2, 3, 3, 3, 4, -6, 49, -178, 76, 8633, -124131, 1202662, -8252662, 16009623, 730544913, -17236420029, 256679586178, -2787185606474, 15947981601793, 215110909342463, -9723413157539188, 216257810122284716, -3515999949642686709
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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) = 1 + Sum_{0<=k<=n-1} hypergeom([1-n+k,n-k],[-n+k],-k). - Robert Israel, Jan 03 2019
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MAPLE
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f:= proc(n) local k; 1 + add(simplify(hypergeom([1-n+k, n-k], [-n+k], -k)), k=0..n-1) end proc:
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MATHEMATICA
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a[n_] := If[n == 0, 1, Sum[(n-k-j)*Binomial[n-k-1+j, j]* (-k)^j/(n-k), {k, 1, n-1}, {j, 0, n-k-1}] + 2];
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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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