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A332691 Bijective base-9 representation of the sum of all numbers in bijective base-9 numeration with digit sum n. 2
1, 13, 147, 1636, 18124, 199399, 2314581, 25461653, 281178597, 3192976395, 35233852789, 387573484456, 4374418444135, 48228613881184, 541525753635894, 5956784387951128, 66635738355523786, 743994232656361639, 8285146556418623572, 92246623188575957748 (list; graph; refs; listen; history; text; internal format)
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

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Last modified December 7 20:12 EST 2021. Contains 349585 sequences. (Running on oeis4.)