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A123612 Antidiagonal sums of triangle A123610. 2
1, 1, 2, 3, 5, 8, 17, 31, 68, 145, 325, 728, 1685, 3891, 9140, 21565, 51311, 122666, 295037, 712477, 1728262, 4207027, 10276693, 25178708, 61866141, 152397945, 376309596, 931239093, 2309219447, 5737078442, 14278587533, 35595622719 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

PROG

(PARI) {a(n)=sum(k=0, n\2, if(k==0, 1, (1/(n-k))*sumdiv(n-k, d, if(gcd(k, d)==d, eulerphi(d)*binomial((n-k)/d, k/d)^2, 0))))}

CROSSREFS

Cf. A123610 (triangle), A123611 (row sums); central terms: A123617, A123618.

Sequence in context: A093000 A122630 A108054 * A077177 A145793 A113879

Adjacent sequences:  A123609 A123610 A123611 * A123613 A123614 A123615

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Oct 03 2006

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Last modified February 14 01:35 EST 2012. Contains 205567 sequences.