|
| |
|
|
A125808
|
|
Adjacent-to-central terms of even-indexed rows of triangle A125806: a(n) = A125806(2n+2,n).
|
|
3
| |
|
|
1, 4, 29, 256, 2592, 28160, 322873, 3850352, 47369432, 597565304, 7695966346, 100852014156, 1341310032320, 18067954497864, 246098396499471, 3384883529933828, 46960152641672616, 656538880287562528
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,2
|
|
|
COMMENTS
| Central terms of even-indexed rows of triangle A125806 equal A063075 (number of partitions of 2n^2 whose Ferrers-plot fits within a 2n X 2n box and cover an n X n box).
|
|
|
PROG
| (PARI) {a(n)=local(C_q=if(n==0, 1, prod(j=n+3, 2*n+2, 1-q^j)/prod(j=1, n, 1-q^j))); sum(i=0, (n+2)*n, polcoeff(C_q, i)^2)}
|
|
|
CROSSREFS
| Cf. A125806 (triangle); A063075; A125807, A125809 (row sums).
Sequence in context: A087809 A140526 A151343 * A203970 A168238 A160885
Adjacent sequences: A125805 A125806 A125807 * A125809 A125810 A125811
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Dec 12 2006
|
| |
|
|
