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 A343801 Total sum of the parts in all partitions counted by A339479(n). 3
 0, 1, 5, 25, 121, 583, 2789, 13287, 63149, 299697, 1421107, 6735253, 31911985, 151174893, 716081551, 3391722505, 16064368343, 76084921797, 360353446761, 1706695118265, 8083167563465, 38283027343193, 181313615940197, 858725280497117, 4067034860337649 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..1481 EXAMPLE a(3) = 25 = 3+4+6+5+7: [1,1,1], [1,1,2], [1,1,4], [1,2,2], [1,2,4]. MAPLE b:= proc(n, t) option remember; `if`(n=0, [1, 0], `if`(t=0, 0, (p-> p+[0, p[2]])(b(n, iquo(t, 2)))+ (p-> p+[0, p[1]])(b(n-1, t+2)))) end: a:= n-> b(n, 1)[2]: seq(a(n), n=0..30); MATHEMATICA b[n_, t_] := b[n, t] = If[n == 0, {1, 0}, If[t == 0, {0, 0}, With[{p = b[n, Quotient[t, 2]]}, p + {0, p[[2]]}] + With[{p = b[n - 1, t + 2]}, p + {0, p[[1]]}]]]; a[n_] := b[n, 1][[2]]; Table[a[n], {n, 0, 30}] (* Jean-François Alcover, May 02 2022, after Alois P. Heinz *) CROSSREFS Cf. A339479, A343799. Sequence in context: A068539 A123871 A268453 * A218989 A078717 A275906 Adjacent sequences: A343798 A343799 A343800 * A343802 A343803 A343804 KEYWORD nonn AUTHOR Alois P. Heinz, Apr 29 2021 STATUS approved

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Last modified September 18 21:47 EDT 2024. Contains 376002 sequences. (Running on oeis4.)