A285067 Row sums of triangle A285066.

1, 5, 57, 989, 22833, 658805, 22810857, 921455309, 42540129633, 2209407621605, 127500056700057, 8093522778736829, 560471288461196433, 42046635718027122005, 3396986478841654717257, 294048932819502579461549, 27150267978072875530135233, 2663529874012507049631576005

Offset: 0

Author

Wolfdieter Lang, Apr 19 2017

Keywords

• nonn
• easy

Comments

See A285066 for details.

Crossrefs

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

Formula

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

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

a(n) ~ n! * 2^(2*n - 3/4) / log(2)^(n+1). - Vaclav Kotesovec, Apr 19 2017

a(n) = 1 + Sum_{k=1..n} binomial(n,k) * 4^k * a(n-k). - Ilya Gutkovskiy, Jun 21 2022