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 A182736 Sum of parts in all partitions of 2n that do not contain 1 as a part. 5
 0, 2, 8, 24, 56, 120, 252, 476, 880, 1584, 2740, 4620, 7680, 12428, 19824, 31170, 48224, 73678, 111384, 166364, 246120, 360822, 524216, 755504, 1080912, 1535050, 2165592, 3036096, 4230632, 5861828, 8078820, 11076362, 15112384, 20523492, 27747128 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Essentially this is a bisection (even indices) of A138880. LINKS Alois P. Heinz, Table of n, a(n) for n = 0..1000 FORMULA a(n) = 2*n*A182746(n). - Omar E. Pol, Dec 05 2010 MAPLE b:= proc(n, i) option remember; local p, q;       if n<0 then [0, 0]     elif n=0 then [1, 0]     elif i<2 then [0, 0]     else p, q:= b(n, i-1), b(n-i, i);         [p[1]+q[1], p[2]+q[2]+q[1]*i]       fi     end: a:= n-> b(2*n, 2*n)[2]: seq(a(n), n=0..34); # Alois P. Heinz, Dec 03 2010 MATHEMATICA b[n_] := (PartitionsP[n] - PartitionsP[n-1])*n; a[n_] := b[2n]; Table[a[n], {n, 0, 34}] (* Jean-François Alcover, Oct 07 2015 *) CROSSREFS Cf. A135010, A138121, A138880, A182734, A182742. Sequence in context: A009059 A009297 A235793 * A083553 A051745 A006734 Adjacent sequences:  A182733 A182734 A182735 * A182737 A182738 A182739 KEYWORD nonn AUTHOR Omar E. Pol, Dec 03 2010 EXTENSIONS More terms from Alois P. Heinz, Dec 03 2010 STATUS approved

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Last modified April 20 07:46 EDT 2021. Contains 343125 sequences. (Running on oeis4.)