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A285067 Row sums of triangle A285066. 5

%I #11 Jun 22 2022 02:55:33

%S 1,5,57,989,22833,658805,22810857,921455309,42540129633,2209407621605,

%T 127500056700057,8093522778736829,560471288461196433,

%U 42046635718027122005,3396986478841654717257,294048932819502579461549,27150267978072875530135233,2663529874012507049631576005

%N Row sums of triangle A285066.

%C See A285066 for details.

%F a(n) = Sum_{m=0..n} A285066(n, m), n >= 0.

%F E.g.f.: exp(x)/(2 - exp(4*x)).

%F a(n) ~ n! * 2^(2*n - 3/4) / log(2)^(n+1). - _Vaclav Kotesovec_, Apr 19 2017

%F a(n) = 1 + Sum_{k=1..n} binomial(n,k) * 4^k * a(n-k). - _Ilya Gutkovskiy_, Jun 21 2022

%Y Cf. A285066, A141413(n+2) (alternating row sums).

%K nonn,easy

%O 0,2

%A _Wolfdieter Lang_, Apr 19 2017

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Last modified April 25 05:56 EDT 2024. Contains 371964 sequences. (Running on oeis4.)