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A111424 Sum_{i=1..n} (2i)!/i!. 1
2, 14, 134, 1814, 32054, 697334, 17994614, 536913014, 18180138614, 688622711414, 28847210769014, 1324142261418614, 66088894793898614, 3563385531547818614, 206406590463275178614, 12782685296230371498614, 842817079876858728618614 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(n) = 4 mod 10 for n>1.

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..366

FORMULA

a(n) ~ 2^(2*n+1/2) * n^n / exp(n). - Vaclav Kotesovec, Oct 16 2014

EXAMPLE

a(3) = 2!/1! + 4!/2! + 6!/3! = 2 + 12 + 120 = 134.

MATHEMATICA

Accumulate[Table[(2i)!/i!, {i, 20}]] (* Harvey P. Dale, Jul 06 2014 *)

CROSSREFS

Sequence in context: A144097 A306081 A326886 * A317356 A336182 A224729

Adjacent sequences: A111421 A111422 A111423 * A111425 A111426 A111427

KEYWORD

nonn

AUTHOR

Jon Perry, Nov 13 2005

STATUS

approved

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Last modified March 23 17:30 EDT 2023. Contains 361449 sequences. (Running on oeis4.)