A240848 Sum of n, digitsum(n) and number of digits of n.

1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 68, 70, 72, 74, 76, 78

Offset

0,2

Comments

Difference between two consecutive terms is never greater than 2. Difference is less than zero when n is a multiple of 10.

Links

Robert Israel, Table of n, a(n) for n = 0..10000

Formula

a(n) = A000027(n) + A007953(n) + A055642(n).

Example

a(12) = 17 because n=12, sum of digits of n is 3, number of digits of n is 2, therefore 12 + 3 + 2 = 17.

Maple

f:= proc(n) local L;
  L:= convert(n, base, 10);
  n + nops(L) + convert(L, `+`)
end proc:
map(f, [$0..100]); # Robert Israel, Mar 04 2022

Prog

(PARI) a(n) = n + sumdigits(n) + if (n==0, 1, #digits(n)); \\ Michel Marcus, Apr 23 2014

Crossrefs

Cf. A000027, A007953, A055642.

Sequence in context: A098729 A160939 A160927 * A038124 A172273 A329835

Adjacent sequences: A240845 A240846 A240847 * A240849 A240850 A240851

Keyword

nonn,base

Author

Carmine Suriano, Apr 13 2014

Status

approved