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A049402
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Row sums of triangle A049374.
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6
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1, 1, 7, 61, 649, 8245, 122215, 2069425, 39328465, 827226505, 19047582055, 475956135205, 12815133759385, 369605936607805, 11361372997850695, 370609338222772825, 12780705695068446625, 464412124831585889425, 17729002673226394402375, 709180766131239680070925
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OFFSET
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0,3
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LINKS
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FORMULA
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E.g.f. exp(p(x)) with p(x) := (1-(1-x)^5)/(5*(1-x)^5) (E.g.f. first column of A049374).
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MAPLE
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a:= proc(n) option remember; `if`(n=0, 1, add(
binomial(n-1, j-1)*(j+4)!/5!*a(n-j), j=1..n))
end:
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MATHEMATICA
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a[0] = 1; a[n_] := a[n] = Sum[Binomial[n - 1, j - 1]*(j + 4)!/5!*a[n - j], {j, 1, n}];
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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