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A217143 Sum of squares of Bell numbers (A000110). 1
1, 2, 6, 31, 256, 2960, 44169, 813298, 17952898, 465148507, 13915349132, 474372594032, 18228772272441, 782443669319410, 37224994809379094, 1949799331997896119, 111783178753323665728, 6978369826387194664144, 472207139326449254997425 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..18.

FORMULA

a(n) = sum(Bell(k)^2, k=0..n).

MATHEMATICA

Accumulate[BellB[Range[0, 20]]^2] (* Bruno Berselli, Sep 27 2012 *)

PROG

(Maxima) makelist(sum(belln(k)^2, k, 0, n), n, 0, 30);

(MAGMA) [&+[Bell(i)^2: i in [0..n]]: n in [0..20]]; // Bruno Berselli, Sep 27 2012

CROSSREFS

Cf. A000110, A005001, A087650, A217144.

Sequence in context: A094639 A113719 A018225 * A075845 A003087 A203901

Adjacent sequences:  A217140 A217141 A217142 * A217144 A217145 A217146

KEYWORD

nonn

AUTHOR

Emanuele Munarini, Sep 27 2012

STATUS

approved

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Last modified October 17 14:25 EDT 2018. Contains 316281 sequences. (Running on oeis4.)