|
Search: id:A134091
|
|
| |
|
| 1, 2, 9, 46, 285, 2021, 16023, 139812, 1326111, 13544857, 147880458, 1715413558, 21036674321, 271585117428, 3677831536291, 52081368845176, 769123715337395, 11816582501728389, 188470925178659344, 3114771205613655362
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
Row n of triangle T=A134090 = row n of (I + D*C)^n for n>=0 where C denotes Pascal's triangle, I the identity matrix, and D a matrix where D(n+1,n)=1 and zeros elsewhere.
|
|
FORMULA
|
a(n) = [x^n] Sum_{k=0..n+1} C(n+1,k)*x^k/(1-k*x) / [Product_{i=1..k}(1-i*x)].
|
|
PROGRAM
|
(PARI) a(n)=polcoeff(sum(k=0, n+1, binomial(n+1, k)*x^k/(1-k*x)/prod(i=0, k, 1-i*x +x*O(x^n))), n)
|
|
CROSSREFS
|
Cf. A134090; columns: A122455, A134092, A134093; A134094 (row sums); A048993 (S2).
Sequence in context: A036726 A020053 A114194 this_sequence A032331 A049371 A032079
Adjacent sequences: A134088 A134089 A134090 this_sequence A134092 A134093 A134094
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Paul D. Hanna (pauldhanna(AT)juno.com), Oct 07 2007
|
|
|
Search completed in 0.002 seconds
|
