A308348 Sum of n written in each integer base from 1 to n inclusive, read as decimal numbers.

1, 21, 132, 1232, 11245, 111274, 1111289, 11112199, 111112293, 1111112324, 11111112343, 111111112468, 1111111112489, 11111111112522, 111111111112557, 1111111111121537, 11111111111121562, 111111111111121678, 1111111111111121705, 11111111111111121832

Offset

1,2

Comments

The sequence cannot continue after 20 with the given rules, because 21 in base 11 is 1A, which cannot be read as in decimal.

Links

Table of n, a(n) for n=1..20.

Example

For n=3, the bases are 111 (base 1), 11 (base 2), and 10 (base 3), which sum to 132.

Prog

(PARI) digs(n, b) = if (b==1, vector(n, k, 1), digits(n, b));
a(n) = sum(b=1, n, fromdigits(digs(n, b), 10)); \\ Michel Marcus, Jun 05 2019

Crossrefs

Sequence in context: A157624 A008384 A110400 * A089369 A328861 A243201

Adjacent sequences: A308345 A308346 A308347 * A308349 A308350 A308351

Keyword

nonn,base

Author

David Robillard, Jun 05 2019

Status

approved