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A123617 Central terms of triangle A123610: a(n) = A123610(2*n,n). 5
1, 2, 10, 68, 618, 6352, 71188, 841332, 10352618, 131328068, 1706742160, 22619741212, 304685855700, 4160480013848, 57476485976388, 802048167035968, 11290551106506218, 160168176177137896, 2287724464324213972 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Related sequences: A123610(2n+1,n) = A000891(n); A123610(2n+2,n) = A123618(n); A123610(2n+2,n)/(n+1) = A123619(n).

PROG

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

CROSSREFS

Cf. A123610 (triangle); A000891, A123618.

Sequence in context: A165968 A104098 A056755 * A139715 A051575 A121201

Adjacent sequences:  A123614 A123615 A123616 * A123618 A123619 A123620

KEYWORD

nonn

AUTHOR

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

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Last modified February 16 08:59 EST 2012. Contains 205903 sequences.