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Search: id:A017899
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| A017899 |
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Expansion of 1/(1 - x^5 - x^6 - ...). |
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3
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| 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 3, 4, 5, 6, 8, 11, 15, 20, 26, 34, 45, 60, 80, 106, 140, 185, 245, 325, 431, 571, 756, 1001, 1326, 1757, 2328, 3084, 4085, 5411, 7168, 9496, 12580, 16665, 22076, 29244, 38740, 51320, 67985, 90061, 119305, 158045
(list; graph; listen)
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OFFSET
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0,11
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COMMENT
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A Lam{\'e} sequence of higher order.
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REFERENCES
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J. Hermes, Anzahl der Zerlegungen einer ganzen rationalen Zahl in Summanden, Math. Ann., 45 (1894), 371-380.
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FORMULA
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G.f.: (1-x)/(1-x-x^5).
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MAPLE
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f := proc(r) local t1, i; t1 := []; for i from 1 to r do t1 := [op(t1), 0]; od: for i from 1 to r+1 do t1 := [op(t1), 1]; od: for i from 2*r+2 to 50 do t1 := [op(t1), t1[i-1]+t1[i-1-r]]; od: t1; end; # set r = order
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CROSSREFS
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For Lam{\'e} sequences of orders 1 through 9 see A000045, A000930, A017898-A017904.
Apart from initial terms, same as A003520.
Sequence in context: A060967 A026483 A098131 this_sequence A003520 A101915 A022468
Adjacent sequences: A017896 A017897 A017898 this_sequence A017900 A017901 A017902
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KEYWORD
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nonn
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AUTHOR
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njas
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