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A085374 a(n)=C(2n+1,n+1)C(n+3,3). 2
1, 12, 100, 700, 4410, 25872, 144144, 772200, 4011150, 20323160, 100876776, 492156392, 2366136500, 11232648000, 52739956800, 245240799120, 1130632213590, 5172827121000, 23504600427000, 106141827191400 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

a(n)=A000292/2*A000984 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 18 2007

FORMULA

a(n)=C(n+2,3)/2*C(2*n,n), n>=1 . - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 18 2007

MAPLE

seq(binomial(n+2, 3)/2*binomial(2*n, n), n=1..20); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 18 2007

MATHEMATICA

Table[Binomial[2 n + 1, n + 1]Binomial[n + 3, 3], {n, 0, 30}]

CROSSREFS

Cf. A001700, A002457, A085373.

Cf. A000292, A000984.

Sequence in context: A004058 A052178 A123902 * A016283 A199681 A008547

Adjacent sequences:  A085371 A085372 A085373 * A085375 A085376 A085377

KEYWORD

easy,nonn

AUTHOR

Mario Catalani (mario.catalani(AT)unito.it), Jun 26 2003

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Last modified February 16 21:17 EST 2012. Contains 205971 sequences.