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A114633 a(n) = (n+1)*(n+2)/2 * Sum_{k=0..floor(n/2)} n!/(n-2*k)!. 1
1, 3, 18, 70, 555, 2961, 31108, 213228, 2799765, 23455135, 369569046, 3659001138, 67261566463, 768390239085, 16142775951240, 209002145031256, 4939689441079593, 71478733600689723, 1877081987610245530, 30021068112289683870, 867211878275933435091, 15190660464818580038473 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Formula was found by Paul D. Hanna.

Related to logarithmic numbers A002104.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..450

FORMULA

a(n) = A087208(n)*(n+1)*(n+2)/2. - Paul D. Hanna

E.g.f.: exp(x)/(1-x^2)*(x^2/2) (with offset 2). - Zerinvary Lajos, Apr 03 2009

MAPLE

a:= n-> (n+1)*(n+2)/2*sum(n!/(n-2*k)!, k=0..floor(n/2)): seq(a(n), n=0..20);

MATHEMATICA

Rest[Rest[With[{nn=25}, CoefficientList[Series[Exp[x]/(1 - x^2)(x^2/2), {x, 0, nn}], x] Range[0, nn]!]]] (* Vincenzo Librandi, Sep 03 2017 *)

CROSSREFS

Cf. A002104, A087208.

Sequence in context: A157535 A098522 A174764 * A135070 A073961 A305623

Adjacent sequences:  A114630 A114631 A114632 * A114634 A114635 A114636

KEYWORD

nonn

AUTHOR

Creighton Dement, Feb 17 2006

EXTENSIONS

More terms from Vincenzo Librandi, Sep 03 2017

STATUS

approved

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Last modified January 23 13:40 EST 2020. Contains 331171 sequences. (Running on oeis4.)