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 A007730 7th binary partition function. 2
 1, 1, 2, 2, 4, 4, 6, 5, 9, 8, 12, 10, 16, 14, 19, 15, 24, 20, 28, 22, 34, 29, 39, 30, 46, 38, 52, 40, 59, 49, 64, 48, 72, 58, 78, 59, 87, 72, 94, 70, 104, 84, 113, 85, 124, 102, 132, 98, 144, 115, 153, 114, 166, 136, 176, 130, 189, 151, 200, 148, 212, 172, 220 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..10000 B. Reznick, Some binary partition functions, in "Analytic number theory" (Conf. in honor P. T. Bateman, Allerton Park, IL, 1989), 451-477, Progr. Math., 85, Birkhäuser Boston, Boston, MA, 1990. MAPLE b:= proc(n, i) option remember;       `if`(n=0, 1, `if`(i<0, 0, add(`if`(n-j*2^i<0, 0,          b(n-j*2^i, i-1)), j=0..6)))     end: a:= n-> b(n, ilog2(n)): seq(a(n), n=0..70);  # Alois P. Heinz, Jun 21 2012 MATHEMATICA b[n_, i_, k_] := b[n, i, k] = If[n == 0, 1, If[i < 0, 0, Sum[If[n-j*2^i < 0, 0, b[n-j*2^i, i-1, k]], {j, 0, k-1}]]]; a[n_] := b[n, Log[2, n] // Floor, 7]; Table[a[n], {n, 0, 70} ] (* Jean-François Alcover, Jan 17 2014, after Alois P. Heinz *) CROSSREFS A column of A072170. Sequence in context: A211508 A109874 A069345 * A257686 A057144 A198332 Adjacent sequences:  A007727 A007728 A007729 * A007731 A007732 A007733 KEYWORD nonn AUTHOR EXTENSIONS More terms from Vladeta Jovovic, May 07 2004 STATUS approved

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Last modified June 19 11:11 EDT 2019. Contains 324219 sequences. (Running on oeis4.)