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 A235792 Total number of parts in all overpartitions of n. 10
 2, 6, 16, 34, 68, 128, 228, 390, 650, 1052, 1664, 2584, 3940, 5916, 8768, 12826, 18552, 26566, 37672, 52956, 73848, 102192, 140420, 191688, 260038, 350700, 470384, 627604, 833236, 1101080, 1448500, 1897438, 2475464, 3217016, 4165200, 5373714, 6909180, 8854288 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS It appears that a(n) is also the sum of largest parts of all overpartitions of n. More generally, It appears that the total number of parts >= k in all overpartitions of n equals the sum of k-th largest parts of all overpartitions of n. In this case k = 1. Also the first column of A235797. The equivalent sequence for partitions is A006128. LINKS Vaclav Kotesovec, Table of n, a(n) for n = 1..10000 (terms 1..1000 from Alois P. Heinz) MAPLE b:= proc(n, i) option remember; `if`(n=0, [1, 0],       `if`(i<1, [0\$2], b(n, i-1)+add((l-> l+[0, l*j])        (2*b(n-i*j, i-1)), j=1..n/i)))     end: a:= n-> b(n\$2): seq(a(n), n=1..40);  # Alois P. Heinz, Jan 21 2014 MATHEMATICA b[n_, i_] := b[n, i] = If[n == 0, {1, 0}, If[i<1, {0, 0}, b[n, i-1] + Sum[ Function[l, l+{0, l[]*j}][2*b[n-i*j, i-1]], {j, 1, n/i}]]]; a[n_] := b[n, n][]; Table[a[n], {n, 1, 40}] (* Jean-François Alcover, Nov 11 2015, after Alois P. Heinz *) CROSSREFS Cf. A006128, A015128, A211971, A235790, A235793, A235797, A235798, A236000, A236001. Sequence in context: A032091 A182994 A309691 * A192706 A248832 A280400 Adjacent sequences:  A235789 A235790 A235791 * A235793 A235794 A235795 KEYWORD nonn AUTHOR Omar E. Pol, Jan 18 2014 EXTENSIONS More terms from Alois P. Heinz, Jan 21 2014 STATUS approved

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Last modified October 15 23:54 EDT 2019. Contains 328038 sequences. (Running on oeis4.)