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Search: id:A078408
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| A078408 |
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Number of ways to partition 2n+1 into distinct positive integers. |
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+0
9
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| 1, 2, 3, 5, 8, 12, 18, 27, 38, 54, 76, 104, 142, 192, 256, 340, 448, 585, 760, 982, 1260, 1610, 2048, 2590, 3264, 4097, 5120, 6378, 7917, 9792, 12076, 14848, 18200, 22250, 27130, 32992, 40026, 48446, 58499, 70488, 84756, 101698, 121792, 145578, 173682
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Euler transform of period 16 sequence [2,0,1,1,1,1,2,0,2,1,1,1,1,0,2,0,...]. - Michael Somos, Mar 04 2003
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FORMULA
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a(n) = t(2*n+1, 0), t as defined in A079211.
Odd entries of A000009. G.f.: 1/[(1-x)(1-x^3)(1-x^5)...] - Jon Perry (perry(AT)globalnet.co.uk), May 27 2004
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PROGRAM
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(PARI) a(n)=local(X); if(n<0, 0, X=x+O(x^(2*n+2)); polcoeff(eta(X^2)/eta(X), 2*n+1))
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CROSSREFS
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Cf. A035294, A078409, A078410. a(n)=A000009(2n+1).
Adjacent sequences: A078405 A078406 A078407 this_sequence A078409 A078410 A078411
Sequence in context: A122928 A001524 A136275 this_sequence A007478 A014605 A132842
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Dec 27 2002
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EXTENSIONS
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More terms from Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Dec 28 2002
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