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Search: id:A100937
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A100937 Main diagonal of symmetric square array A100936. +0
3
1, 3, 14, 76, 435, 2577, 15678, 97272, 612126, 3891890, 24933292, 160663328, 1040074684, 6759228932, 44075916696, 288289595968, 1890894150707, 12434303045721, 81960791460442, 541428229233012, 3583843659376257 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n) = Sum_{k=0..n} C(n, k)^2*A051162(k).

EXAMPLE

a(3) = 76 = 1*1 + 3^2*2 + 3^2*5 + 1*12 = Sum_{k=0..3} C(3,k)^2*A051163(k).

a(4) = 435 = 1*1 + 4^2*2 + 6^2*5 + 4^2*12 + 1*30 = Sum_{k=0..4} C(4,k)^2*A051163(k).

PROGRAM

(PARI)

CROSSREFS

Cf. A051163, A100936.

Sequence in context: A026004 A063016 A133798 this_sequence A048779 A052186 A074538

Adjacent sequences: A100934 A100935 A100936 this_sequence A100938 A100939 A100940

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Nov 23 2004

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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