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 A182734 Number of parts in all partitions of 2n that do not contain 1 as a part. 5
 0, 1, 3, 8, 17, 34, 68, 123, 219, 382, 642, 1055, 1713, 2713, 4241, 6545, 9950, 14953, 22255, 32752, 47774, 69104, 99114, 141094, 199489, 280096, 390836, 542170, 747793, 1025912, 1400425, 1902267, 2572095, 3462556, 4641516, 6196830, 8241460, 10919755, 14416885 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Essentially this is a bisection (even part) of A138135. LINKS Alois P. Heinz, Table of n, a(n) for n = 0..1000 MAPLE b:= proc(n, i) option remember; local p, q;       if n<0 then [0, 0]     elif n=0 then [1, 0]     elif i=1 then [0, 0]     else p, q:= b(n, i-1), b(n-i, i);          [p[1]+q[1], p[2]+q[2]+q[1]]       fi     end: a:= n-> b(2*n, 2*n)[2]: seq(a(n), n=0..35);  # Alois P. Heinz, Dec 03 2010 MATHEMATICA Table[Length[Flatten[DeleteCases[IntegerPartitions[2n], _?(MemberQ[ #, 1]&)]]], {n, 0, 40}] (* Harvey P. Dale, Aug 08 2013 *) b[n_] := DivisorSigma[0, n]-1+Sum[(DivisorSigma[0, k]-1)*(PartitionsP[n-k] - PartitionsP[n-k-1]), {k, 1, n-1}]; a[0] = 0; a[n_] := b[2n]; Table[a[n], {n, 0, 35}] CROSSREFS Cf. A135010, A138121, A138135, A182742. Sequence in context: A163312 A131253 A145071 * A327608 A239844 A182616 Adjacent sequences:  A182731 A182732 A182733 * A182735 A182736 A182737 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 12 10:52 EDT 2021. Contains 342920 sequences. (Running on oeis4.)