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 A057601 a(0) = a(1) = 1; a(n+1) is the number of partitions of n into parts a(k), 0 <= k <= n, each k occurring at most once. 2
 1, 1, 2, 2, 4, 4, 6, 8, 10, 11, 12, 14, 17, 21, 25, 29, 33, 37, 43, 49, 54, 59, 66, 72, 80, 89, 98, 106, 116, 126, 137, 148, 161, 174, 187, 200, 216, 232, 248, 266, 284, 302, 321, 344, 367, 391, 414, 440, 465, 493, 523, 556, 584, 616, 650, 689, 726, 768, 808 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..1000 EXAMPLE a(6) = 6 because 5 = a(0) + a(4) = a(0) + a(5) = a(1) + a(4) = a(1) + a(5) = a(0) + a(2) + a(3) = a(1) + a(2) + a(3). MAPLE b:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<0, 0,        b(n, i-1)+`if`(a(i)>n, 0, b(n-a(i), i-1))))     end: a:= proc(n) a(n):= `if`(n<2, 1, b(n-1, n-1)) end: seq(a(n), n=0..70);  # Alois P. Heinz, May 26 2013 MATHEMATICA b[n_, i_] := b[n, i] = If[n == 0, 1, If[i < 0, 0, b[n, i - 1] + If[a[i] > n, 0, b[n - a[i], i - 1]]]]; a[n_] := If[n < 2, 1, b[n - 1, n - 1]]; a /@ Range[0, 70] (* Jean-François Alcover, Nov 10 2020, after Alois P. Heinz *) CROSSREFS Sequence in context: A341731 A183002 A211859 * A294150 A087135 A227135 Adjacent sequences:  A057598 A057599 A057600 * A057602 A057603 A057604 KEYWORD nonn AUTHOR Leroy Quet, Oct 06 2000 EXTENSIONS More terms from Naohiro Nomoto, Oct 28 2001 Extended beyond a(45) by Alois P. Heinz, May 26 2013 STATUS approved

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Last modified May 20 00:55 EDT 2022. Contains 353847 sequences. (Running on oeis4.)