login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A187648 Partial sums of the (signless) central Stirling numbers of the first kind. 1
1, 2, 13, 238, 7007, 276332, 13615867, 804559020, 55435688573, 4363540990502, 386285596492697, 37986820683352442, 4108370877690921963, 484652929620424467088, 61930188031979540102743, 8521504634108297687933368 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..250

FORMULA

a(n) = Sum_{k=0..n} A132393(2*k,k).

a(n) ~ n^n * c^(2*n) * 2^(3*n-1) / (sqrt(Pi*(c-1)*n) * exp(n) * (2*c-1)^n), where c = -LambertW(-1,-exp(-1/2)/2). - Vaclav Kotesovec, May 21 2014

MAPLE

seq(add(abs(combinat[stirling1](2*k, k)), k=0..n), n=0..15);

MATHEMATICA

Flatten[Table[Sum[Abs[StirlingS1[2k, k]], {k, 0, n}], {n, 0, 15}], 1]

PROG

(Maxima) makelist(sum(abs(stirling1(2*k, k)), k, 0, n), n, 0, 12);

CROSSREFS

Cf. A132393.

Sequence in context: A236903 A277452 A268703 * A113098 A135870 A133067

Adjacent sequences:  A187645 A187646 A187647 * A187649 A187650 A187651

KEYWORD

nonn,easy

AUTHOR

Emanuele Munarini, Mar 12 2011

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 21 22:32 EDT 2019. Contains 326169 sequences. (Running on oeis4.)