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%I #19 Sep 08 2022 08:45:01
%S 0,1,64,729,4096,15625,46656,117649,262144,531441,1,2,65,730,4097,
%T 15626,46657,117650,262145,531442,64,65,128,793,4160,15689,46720,
%U 117713,262208,531505,729,730,793,1458,4825,16354,47385,118378,262873
%N Sum of 6th powers of digits of n.
%C The only fixed points (n = 0, 1 and 548834) are listed in row 6 of A252648. - _M. F. Hasler_, Apr 12 2015
%H Michel Marcus, <a href="/A055015/b055015.txt">Table of n, a(n) for n = 0..999</a>
%H <a href="/index/Coi#Colombian">Index entries for Colombian or self numbers and related sequences</a>
%F a(n) = Sum_{k>0} (floor(n/10^k) - 10*floor(n/10^(k+1)))^6. - _Hieronymus Fischer_, Jun 25 2007
%F a(10n+k) = a(n) + k^6, 0 <= k < 10. - _Hieronymus Fischer_, Jun 25 2007
%p for n from 0 to 3 do seq(n^6+j^6, j=0..9 ); od; # _Zerinvary Lajos_, Nov 06 2006
%t Table[Sum[DigitCount[n][[i]] i^6, {i, 9}], {n, 0, 40}] (* _Bruno Berselli_, Feb 01 2013 *)
%o (Magma) [0] cat [&+[d^6: d in Intseq(n)]: n in [1..40]]; // _Bruno Berselli_, Feb 01 2013
%o (PARI) A055015(n)=sum(i=1,#n=digits(n),n[i]^6) \\ _M. F. Hasler_, Apr 12 2015
%Y Cf. A003132.
%Y Cf. A003132, A055012, A055013, A005514.
%Y Cf. A007953, A055017, A076313, A076314.
%K base,nonn
%O 0,3
%A _Henry Bottomley_, May 31 2000
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