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 A033639 Base-2 digital convolution sequence. 5
 1, 1, 1, 2, 1, 2, 3, 6, 1, 3, 4, 13, 4, 11, 21, 49, 13, 17, 24, 62, 66, 103, 145, 338, 128, 297, 376, 1156, 763, 1564, 2592, 6451, 376, 1532, 1139, 4235, 4124, 11714, 8735, 26105, 5263, 21212, 18122, 77153, 35210, 100649, 135748, 369972, 95275, 207638 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS Rémy Sigrist, Table of n, a(n) for n = 0..5000 Rémy Sigrist, PARI program for A033639 EXAMPLE Suppose base = 3 and a(0)..a(13) are 1, 1, 2, 1, 3, 7, 6, 20, 52, 6, 26, 104, 32, 162. In base 3, 14 = 112, so we convolve the last three terms with 1, 1, 2 to obtain 104*1 + 32*1 + 162*2 = 460. MAPLE a:= proc(n) option remember; `if`(n=0, 1, (l-> add(l[i]*a(n-i), i=1..nops(l)))(Bits[Split](n))) end: seq(a(n), n=0..49); # Alois P. Heinz, Apr 14 2021 PROG (PARI) See Links section. CROSSREFS Cf. A033640, A033641, A033642, A033643, A033644, A033645, A033646, A033647, A033666, A033922, A260956. Sequence in context: A106524 A323641 A086582 * A156565 A156693 A156564 Adjacent sequences: A033636 A033637 A033638 * A033640 A033641 A033642 KEYWORD base,nonn AUTHOR David W. Wilson STATUS approved

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Last modified June 3 10:10 EDT 2023. Contains 363107 sequences. (Running on oeis4.)