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A155159

a(n) = 1 + 2*n*n!.

1, 3, 9, 37, 193, 1201, 8641, 70561, 645121, 6531841, 72576001, 878169601, 11496038401, 161902540801, 2440992153601, 39230231040001, 669529276416001, 12093372555264001, 230485453406208001, 4622513815535616001

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OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..445

FORMULA

From G. C. Greubel, Mar 20 2021: (Start)

a(n) = 2*A001563(n) + 1.

E.g.f.: exp(x) + 2*x/(1-x)^2. (End)

MAPLE

A155159:= 2*((n+1)! - n!) + 1; seq(A155159(n), n=0..30); # G. C. Greubel, Mar 20 2021

MATHEMATICA

Table[1 + 2*n*n!, {n, 0, 30}]

PROG

(Magma) [1 + 2*n*Factorial(n): n in [0..30]]; // G. C. Greubel, Mar 20 2021

(SageMath) [1 + 2*n*factorial(n) for n in (0..30)] # G. C. Greubel, Mar 20 2021

CROSSREFS

Cf. A001563.

Sequence in context: A030943 A030803 A300170 * A222518 A386212 A107886

Adjacent sequences: A155156 A155157 A155158 * A155160 A155161 A155162

KEYWORD

nonn

AUTHOR

Roger L. Bagula, Jan 21 2009

STATUS

approved

URL: https://oeis.org/A155159

⇱ A155159 - OEIS