A033647 Base 10 digital convolution sequence.

1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 40320, 403200, 846720, 2943360, 12620160, 66044160, 408885120, 2928240000, 23834805120, 217441486080, 47669610240, 482552582400, 1060444385280, 4146438320640, 18706642053120, 101826086906880, 648369805547520

Offset

0,3

Links

Alois P. Heinz, Table of n, a(n) for n = 0..1000

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)))(convert(n, base, 10)))
    end:
seq(a(n), n=0..33);  # Alois P. Heinz, Apr 14 2021

Crossrefs

Cf. A033639, A033640, A033641, A033642, A033643, A033644, A033645, A033646.

Sequence in context: A061602 A182287 A248778 * A319550 A109834 A131451

Adjacent sequences: A033644 A033645 A033646 * A033648 A033649 A033650

Keyword

base,nonn

Author

David W. Wilson

Status

approved