cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A061210 Numbers which are the fourth powers of their digit sum.

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%I A061210 #21 May 23 2025 11:07:23
%S A061210 0,1,2401,234256,390625,614656,1679616
%N A061210 Numbers which are the fourth powers of their digit sum.
%C A061210 It can be shown that 1679616 = 36^4 is the largest such number.
%D A061210 Amarnath Murthy, The largest and the smallest m-th power whose digit sum is the m-th root. (To be published)
%D A061210 Alfred S. Posamentier, Math Charmers, Tantalizing Tidbits for the Mind, Prometheus Books, NY, 2003, page 36.
%e A061210 614656 = ( 6+1+4+6+5+6)^4 =28^4.
%t A061210 Select[Range[0,17*10^5],#==Total[IntegerDigits[#]]^4&] (* _Harvey P. Dale_, Sep 22 2019 *)
%o A061210 (PARI) isok(n) = n == sumdigits(n)^4; \\ _Michel Marcus_, Jan 22 2015
%Y A061210 Cf. A061209 (with cubes), A061211.
%Y A061210 Cf. A046000, A076090, A046017; A252648 and references there.
%K A061210 nonn,fini,full,base
%O A061210 1,3
%A A061210 _Amarnath Murthy_, Apr 21 2001
%E A061210 Corrected by Ulrich Schimke, Feb 11 2002
%E A061210 Initial 0 added by _M. F. Hasler_, Apr 12 2015