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A171500
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"Kaprekar quintuples": digits of X^5 taken D at a time sum to X (where D is number of digits in X.)
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1
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1, 10, 1000, 7776, 27100, 73440, 95120, 500499, 505791, 540539, 598697, 665335, 697598, 732347, 7607610, 37944478, 46945205, 54995500, 55216205, 56607166, 58106906, 63136413, 66595563, 68167738, 68807564, 69188525, 70667477, 72197730, 73197730, 74145807
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Referred to as "natural" Kaprekar numbers on Munafo webpage because A[n] and the 5 pieces of A[n}^5 must all have the same number of digits (some of which can be leading zeros). Analogous to A053816 for squares, as opposed to A006886 and A045913 which allow irregular divisions.
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LINKS
| Robert Gerbicz, Table of n, a(n) for n = 1..26397
R. Munafo, Kaprekar Sequences
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EXAMPLE
| 7776^5 = 28430288029929701376 ; 2843+0288+0299+2970+1376 = 7776. 27100^5 = 14616603103510000000000 ; 146+16603+10351+00000+00000 = 27100.
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CROSSREFS
| Cf. A006886, A006887, A045913, A053816, A171493
Sequence in context: A168520 A200993 A062033 * A154027 A013715 A135612
Adjacent sequences: A171497 A171498 A171499 * A171501 A171502 A171503
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KEYWORD
| base,nonn
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AUTHOR
| Robert Munafo (mrob27(AT)gmail.com), Dec 10 2009
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EXTENSIONS
| More terms by Robert Gerbicz (robert.gerbicz(AT)gmail.com), Jul 28 2011
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