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 A171493 "Kaprekar quadruples": digits of X^4 taken D at a time sum to X (where D is number of digits in X.) 2
 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; text; internal format)
 OFFSET 1,2 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. LINKS Robert Gerbicz, Table of n, a(n) for n = 1..10852 R. Munafo, Kaprekar Sequences 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. CROSSREFS Cf. A006886, A006887, A045913, A053816 Sequence in context: A166775 A221541 A156374 * A262772 A153492 A107125 Adjacent sequences:  A171490 A171491 A171492 * A171494 A171495 A171496 KEYWORD base,nonn AUTHOR Robert Munafo, Dec 10 2009 EXTENSIONS Added term a(1)=1, Robert Gerbicz, Jul 28 2011 STATUS approved

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