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A171493
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"Kaprekar quadruples": digits of X^4 taken D at a time sum to X (where D is number of digits in X.)
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2
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1, 7, 45, 55, 67, 100, 433, 4950, 5050, 38212, 65068, 190576, 295075, 299035, 310024, 336700, 343333, 394615, 414558, 433566, 448228, 450550, 467236, 475497, 476191, 486486, 499500, 500500, 523513, 534898, 549550, 599743, 622414, 628408, 647362
(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 4 pieces of a(n)^4 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..10852
R. Munafo, Kaprekar Sequences
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EXAMPLE
| 7^4 = 2401 ; 2+4+0+1 = 7. 67^4 = 20151121 ; 20+15+11+21 = 67. 4950^4 = 600372506250000 ; 0600+3725+0625+0000 = 4950.
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CROSSREFS
| Cf. A006886, A006887, A045913, A053816
Sequence in context: A091127 A166775 A156374 * A153492 A107125 A197369
Adjacent sequences: A171490 A171491 A171492 * A171494 A171495 A171496
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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
| Added term a(1)=1, Robert Gerbicz (robert.gerbicz(AT)gmail.com), Jul 28 2011
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