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A096958
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Fifth column (m=4) of (1,6)-Pascal triangle A096956.
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3
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6, 25, 65, 135, 245, 406, 630, 930, 1320, 1815, 2431, 3185, 4095, 5180, 6460, 7956, 9690, 11685, 13965, 16555, 19481, 22770, 26450, 30550, 35100, 40131, 45675, 51765, 58435, 65720, 73656, 82280, 91630, 101745, 112665, 124431, 137085, 150670
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OFFSET
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0,1
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LINKS
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FORMULA
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a(n)= A096956(n+4, 4) = 6*b(n) - 5*b(n-1) = (n+24)*binomial(n+3, 3)/4, with b(n):=A000332(n)=binomial(n+4, 4).
G.f.: (6-5*x)/(1-x)^5.
a(n) = sum_{k=1..n+1} ( sum_{i=1..k} i*(n-k+7) ). - Wesley Ivan Hurt, Sep 26 2013
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MAPLE
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seq(sum(sum(i*(j-k+7), i=1..k), k=1..j+1), j=0..100); # Wesley Ivan Hurt, Sep 26 2013
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MATHEMATICA
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PROG
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(Magma) [(n+24)*Binomial(n+3, 3) div 4: n in [0..40]]; // Vincenzo Librandi, Oct 01 2013
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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