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A323228
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a(n) = binomial(n + 4, n - 1) + 1.
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2
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1, 2, 7, 22, 57, 127, 253, 463, 793, 1288, 2003, 3004, 4369, 6189, 8569, 11629, 15505, 20350, 26335, 33650, 42505, 53131, 65781, 80731, 98281, 118756, 142507, 169912, 201377, 237337, 278257, 324633, 376993, 435898, 501943, 575758, 658009, 749399, 850669
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = 1 + Pochhammer(n, 5)/5!.
a(n) = [x^n] (x - (x - 1)^5)/(x - 1)^6.
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MAPLE
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aList := proc(len) local gf, ser:
gf := (x - (x - 1)^5)/(x - 1)^6:
ser := series(gf, x, len+2):
seq(coeff(ser, x, n), n=0..len) end: aList(38);
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MATHEMATICA
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Table[Binomial[n + 4, n - 1] + 1, {n, 0, 37}]
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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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