A332691 Bijective base-9 representation of the sum of all numbers in bijective base-9 numeration with digit sum n.

1, 13, 147, 1636, 18124, 199399, 2314581, 25461653, 281178597, 3192976395, 35233852789, 387573484456, 4374418444135, 48228613881184, 541525753635894, 5956784387951128, 66635738355523786, 743994232656361639, 8285146556418623572, 92246623188575957748

Offset

1,2

Links

Alois P. Heinz, Table of n, a(n) for n = 1..955

Wikipedia, Bijective numeration

Formula

a(n) = A052382(A332690(n)).

Example

a(2) = 13_bij9 = 12 = 2 + 10 = 2_bij9 + 11_bij9.

Maple

b:= proc(n) option remember; `if`(n=0, [1, 0], add((p->
      [p[1], p[2]*9+p[1]*d])(b(n-d)), d=1..min(n, 9)))
    end:
g:= proc(n) local d, l, m; m, l:= n, "";
      while m>0 do d:= irem(m, 9, 'm');
        if d=0 then d:=9; m:= m-1 fi; l:= d, l
      od; parse(cat(l))
    end:
a:= n-> g(b(n)[2]):
seq(a(n), n=1..23);

Crossrefs

Cf. A007953, A016134, A052382, A211072, A214676, A332690.

Sequence in context: A110748 A211072 A016135 * A210165 A132156 A324356

Adjacent sequences: A332688 A332689 A332690 * A332692 A332693 A332694

Keyword

nonn,base

Author

Alois P. Heinz, Feb 19 2020

Status

approved