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

0,2

Comments

See A285066 for details.

Links

Table of n, a(n) for n=0..17.

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

Crossrefs

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

Sequence in context: A223382 A336286 A155539 * A234293 A244288 A009480

Adjacent sequences: A285064 A285065 A285066 * A285068 A285069 A285070

Keyword

nonn,easy

Author

Wolfdieter Lang, Apr 19 2017

Status

approved