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A125807
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Central terms of odd-indexed rows of triangle A125806: a(n) = A125806(2n+1,n).
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3
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1, 3, 16, 119, 1070, 10762, 116546, 1330923, 15823388, 194168612, 2444224858, 31422225930, 411141476444, 5460849893348, 73474839110524, 999764999592077, 13738614091375204, 190450074950481408, 2660727794475865450
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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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).
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PROG
| (PARI) {a(n)=local(C_q=if(n==0, 1, prod(j=n+2, 2*n+1, 1-q^j)/prod(j=1, n, 1-q^j))); sum(i=0, (n+1)*n, polcoeff(C_q, i)^2)}
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CROSSREFS
| Cf. A125806 (triangle); A063075; A125808, A125809 (row sums).
Sequence in context: A036248 A111555 A074522 * A125222 A199670 A192783
Adjacent sequences: A125804 A125805 A125806 * A125808 A125809 A125810
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Dec 12 2006
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