A061907 - OEIS

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A061907

The iterative cycle: n -> sum of digits of n^2 has only four distinct elements.

2, 11, 20, 101, 110, 134, 136, 163, 172, 197, 200, 217, 233, 242, 244, 262, 278, 287, 296, 298, 307, 313, 314, 316, 343, 359, 386, 397, 406, 413, 422, 424, 431, 433, 442, 458, 467, 469, 476, 478, 487, 514, 523, 541, 577, 583, 586, 593, 604, 613, 614, 622

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..52.

EXAMPLE

a(2) = 4 since 2 -> 4 -> 1+6 = 7 -> 4+9 = 13 -> 1+6+9 = 16 -> 2+5+6 = 13, thus {4,7,13,16} are the distinct elements of the iterative cycle of 2.

CROSSREFS

Cf. A007953, A004159, A061903 - A061910.

Sequence in context: A064975 A115095 A341003 * A052216 A094629 A336034

Adjacent sequences: A061904 A061905 A061906 * A061908 A061909 A061910

KEYWORD

nonn,base

AUTHOR

Asher Auel, May 17 2001

STATUS

approved