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A049378
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Row sums of triangle A049353.
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6
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1, 1, 6, 46, 436, 4956, 65776, 996976, 16957536, 319259296, 6581662336, 147290942976, 3552885191296, 91827536814976, 2530228890080256, 74003737259670016, 2288810287491774976, 74607500831801289216, 2555587654482227055616, 91746983502042106018816
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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) := x*(2-x)*(2-2*x+x^2)/(4*(1-x)^4) (E.g.f. first column of A049353).
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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+3)!/4!*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 + 3)!/4!*a[n - j], {j, 1, n}];
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CROSSREFS
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KEYWORD
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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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