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A055015 Sum of 6th powers of digits of n. 7
0, 1, 64, 729, 4096, 15625, 46656, 117649, 262144, 531441, 1, 2, 65, 730, 4097, 15626, 46657, 117650, 262145, 531442, 64, 65, 128, 793, 4160, 15689, 46720, 117713, 262208, 531505, 729, 730, 793, 1458, 4825, 16354, 47385, 118378, 262873 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

The only fixed points (n = 0, 1 and 548834) are listed in row 6 of A252648. - M. F. Hasler, Apr 12 2015

LINKS

Michel Marcus, Table of n, a(n) for n = 0..999

Index entries for Colombian or self numbers and related sequences

FORMULA

a(n) = Sum_{k>0} (floor(n/10^k) - 10*floor(n/10^(k+1)))^6. - Hieronymus Fischer, Jun 25 2007

a(10n+k) = a(n) + k^6, 0 <= k < 10. - Hieronymus Fischer, Jun 25 2007

MAPLE

for n from 0 to 3 do seq(n^6+j^6, j=0..9 ); od; # Zerinvary Lajos, Nov 06 2006

MATHEMATICA

Table[Sum[DigitCount[n][[i]] i^6, {i, 9}], {n, 0, 40}] (* Bruno Berselli, Feb 01 2013 *)

PROG

(MAGMA) [0] cat [&+[d^6: d in Intseq(n)]: n in [1..40]]; // Bruno Berselli, Feb 01 2013

(PARI) A055015(n)=sum(i=1, #n=digits(n), n[i]^6) \\ M. F. Hasler, Apr 12 2015

CROSSREFS

Cf. A003132.

Cf. A003132, A055012, A055013, A005514.

Cf. A007953, A055017, A076313, A076314.

Sequence in context: A016899 A250364 A017676 * A001014 A050753 A074154

Adjacent sequences:  A055012 A055013 A055014 * A055016 A055017 A055018

KEYWORD

base,nonn

AUTHOR

Henry Bottomley, May 31 2000

STATUS

approved

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Last modified September 15 16:30 EDT 2019. Contains 327078 sequences. (Running on oeis4.)