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A104473
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binomial(n+2,2)*binomial(n+6,2)
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0
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15, 63, 168, 360, 675, 1155, 1848, 2808, 4095, 5775, 7920, 10608, 13923, 17955, 22800, 28560, 35343, 43263, 52440, 63000, 75075, 88803, 104328, 121800, 141375, 163215, 187488, 214368, 244035, 276675, 312480, 351648, 394383, 440895, 491400
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| If one adds 1 to each term one gets the squares of 4,8,13,19,26,... with the pattern of differences being 4,5,6,7,8,9... [From J. M. Bergot Dec 14 2010]
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FORMULA
| a(n) = (1/4)*(n+1)*(n+2)*(n+5)*(n+6).
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EXAMPLE
| a(0) : if n=0 then C(0+2,2)*C(0+6,2)=C(2,2)*C(6,2)=1*15=155
a(10) : if n=10 then C(10+2,2)*C(10+6,2)=C(12,2)*(16,2)=66*120=7920
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MATHEMATICA
| f[n_] := Binomial[n + 2, 2]Binomial[n + 6, 2]; Table[ f[n], {n, 0, 27}] (from Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 20 2005)
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CROSSREFS
| Cf. A062264.
Sequence in context: A062965 A157968 A141759 * A135972 A138104 A152099
Adjacent sequences: A104470 A104471 A104472 * A104474 A104475 A104476
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KEYWORD
| easy,nonn
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AUTHOR
| Zerinvary Lajos (zlaja(AT)freemail.hu), Apr 18 2005
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EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 20 2005
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