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
Examples
a(2) = 13_bij9 = 12 = 2 + 10 = 2_bij9 + 11_bij9.
Links
- Alois P. Heinz, Table of n, a(n) for n = 1..955
- Wikipedia, Bijective numeration
Programs
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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);