login
A014837
Sum of all the digits of n in every base from 2 to n-1.
11
2, 3, 7, 9, 15, 16, 20, 24, 34, 33, 45, 51, 59, 57, 73, 72, 90, 91, 103, 113, 135, 127, 143, 155, 167, 170, 198, 192, 222, 220, 240, 256, 280, 260, 296, 314, 338, 332, 372, 366, 408, 415, 429, 451, 497, 471, 507, 514, 546, 555, 607, 597, 637, 633, 669, 697
OFFSET
3,1
LINKS
FORMULA
a(n) = A043306(n) - 1. - Amiram Eldar, Apr 16 2021
MATHEMATICA
Table[Plus @@ Flatten[Table[IntegerDigits[n, b], {b, 2, n - 1}]], {n, 3, 36}] (* Alonso del Arte, Mar 28 2009 *)
PROG
(Python)
from sympy.ntheory.digits import digits
def a(n): return sum(sum(digits(n, b)[1:]) for b in range(2, n))
print([a(n) for n in range(3, 59)]) # Michael S. Branicky, Apr 04 2022
CROSSREFS
Cf. A043306.
Sequence in context: A320275 A096072 A305121 * A019312 A135369 A294283
KEYWORD
nonn,base
STATUS
approved