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, Self-serving altruistic numbers
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
KEYWORD
base,nonn,fini
AUTHOR
Hans Havermann, Mar 04 2009
STATUS
approved