The On-Line Encyclopedia of Integer Sequences (OEIS)

A066005 revision #14

A066005

Sum of digits of 11^n.

1, 2, 4, 8, 16, 14, 28, 38, 40, 53, 43, 41, 55, 47, 76, 71, 88, 86, 82, 83, 94, 71, 97, 95, 118, 101, 112, 125, 124, 140, 145, 137, 139, 143, 178, 140, 172, 200, 184, 188, 205, 203, 190, 164, 175, 215, 196, 248, 190, 218, 265, 251, 223, 230

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

Harry J. Smith, Table of n, a(n) for n = 0..1000

FORMULA

a(n) = A007953(A001020(n)). - Michel Marcus, Nov 01 2013

MATHEMATICA

Total/@(IntegerDigits/@(11^Range[0, 60])) (* Harvey P. Dale, Nov 02 2011 *)

PROG

(PARI) SumD(x)= { local(s=0); while (x>9, s+=x%10; x\=10); return(s + x) } { f=1; for (n=0, 1000, a=SumD(f); f*=11; write("b066005.txt", n, " ", a) ) } [Harry J. Smith, Nov 06 2009]

(PARI) a(n) = sumdigits(11^n); \\ Michel Marcus, Nov 01 2013

CROSSREFS

Cf. sum of digits of k^n: A001370 (k=2), A004166 (k=3), A065713 (k=4), A066001 (k=5), A066002 (k=6), A066003 (k=7), A066004 (k=8), A065999 (k=9), this sequence (k=11), A066006 (k=12), A175527 (k=13).

Sequence in context: A334629 A358708 A108565 * A066600 A210025 A309571

Adjacent sequences: A066002 A066003 A066004 * A066006 A066007 A066008

KEYWORD

nonn,base

AUTHOR

N. J. A. Sloane, Dec 11 2001

STATUS

approved