A179120 Sums of the squares of the coefficients in the complete Bell polynomials.

1, 1, 2, 11, 63, 552, 7063, 98149, 1752600, 36760341, 901035157, 25327380476, 815505489373, 29522109298801, 1181835042607170, 53059912668033189, 2603456262009426341, 139888327054362195206

Offset

0,3

Comments

Equals sums of the squares of the terms in rows of triangle A036040;

row sums of A036040 form the Bell numbers (A000110).

Links

Table of n, a(n) for n=0..17.

Example

After the initial a(0)=1, the next few terms are
a(1) = 1^2 = 1,
a(2) = 1^2 + 1^2 = 2,
a(3) = 1^2 + 3^2 + 1^2 = 11,
a(4) = 1^2 + 4^2 + 3^2 + 6^2 + 1^2 = 63,
and continue with sums of the squares of terms in triangle A036040.

Crossrefs

Cf. A036040.

Sequence in context: A370392 A126745 A362799 * A038725 A161947 A349023

Adjacent sequences: A179117 A179118 A179119 * A179121 A179122 A179123

Keyword

nonn

Author

Paul D. Hanna, Jan 04 2011

Extensions

As suggested by Andrew Weimholt, examples added and name changed by Paul D. Hanna, Jan 05 2011

Status

approved