

A157714


Base10 pseudoaltruistic numbers


4



136, 160, 217, 244, 259, 352, 496, 586, 664, 736, 853, 862, 1009, 2178, 2929, 3233, 3283, 4274, 4394, 6514, 6562, 7154, 10933, 13154, 18829, 50062, 58618, 59536, 73318, 76438, 124618, 282595, 312962, 329340, 376761, 537059, 578955, 681069
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OFFSET

1,1


COMMENTS

These integers reoccur (with a period greater than 1) upon the iteration of raising every digit to the power of the number's length and summing.
If the reoccurrence is immediate (period 1), the numbers are (instead) narcissistic (A005188).


LINKS

Hans Havermann, Table of n, a(n) for n=1..265
E. Angelini, A Recurring Digital Invariant variant
E. Angelini, A Recurring Digital Invariant Variant [Cached, with permission]
H. Havermann, Selfserving altruistic numbers
H. Havermann, Selfserving altruistic numbers [Cached copy, with permission]


EXAMPLE

2929 is pseudoaltruistic because 2929 > 13154 (2^4 + 9^4 + 2^4 + 9^4) > 4394 (1^5 + 3^5 + 1^5 + 5^5 + 4^5) > 7154 (4^4 + 3^4 + 9^4 + 4^4) > 3283 (7^4 + 1^4 + 5^4 + 4^4) > 4274 (3^4 + 2^4 + 8^4 + 3^4) > 2929 (4^4 + 2^4 + 7^4 + 4^4).


CROSSREFS

Cf. A005188. The "Recurring Digital Invariant Variant" is described in more detail in A151543.
Sequence in context: A281241 A072884 A072889 * A165337 A256925 A235285
Adjacent sequences: A157711 A157712 A157713 * A157715 A157716 A157717


KEYWORD

base,nonn,fini


AUTHOR

Hans Havermann, Mar 04 2009


STATUS

approved



