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Search: id:A103505
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| A103505 |
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Denominator in expansion of (1-x)ln(1-x). |
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+0
2
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| 1, 1, 2, 6, 12, 20, 30, 42, 56, 72, 90, 110, 132, 156, 182, 210, 240, 272, 306, 342, 380, 420, 462, 506, 552, 600, 650, 702, 756, 812, 870, 930, 992, 1056, 1122, 1190, 1260, 1332, 1406, 1482, 1560, 1640, 1722, 1806, 1892, 1980, 2070, 2162, 2256, 2352, 2450
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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See A002378 for many more comments and references.
Denominators for the sequence with e.g.f. (1-x)ln(1-x). Numerators are given by 1-0^n-2(C(1,n)-C(0,n)). Also denominators for the sequence with e.g.f. (1+x)ln(1+x). This sequence has numerators (-1)^n-0^n+2(C(1,n)-C(0,n)).
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FORMULA
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G.f.: (1-2x+2x^2+2x^3-x^4)/(1-x)^3; a(n)=0^n+C(1, n)-C(0, n)+2C(n, 2).
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CROSSREFS
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Cf. A000384. Apart from initial terms, same as A002378.
Sequence in context: A098734 A160942 A160929 this_sequence A002378 A005991 A003274
Adjacent sequences: A103502 A103503 A103504 this_sequence A103506 A103507 A103508
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Feb 09 2005
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