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A157714
Base-10 pseudo-altruistic numbers
5
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
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
E. Angelini, A Recurring Digital Invariant Variant [Cached, with permission]
H. Havermann, Self-serving altruistic numbers [Cached copy, with permission]
EXAMPLE
2929 is pseudo-altruistic 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
KEYWORD
base,nonn,fini
AUTHOR
Hans Havermann, Mar 04 2009
STATUS
approved