1,1

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).

Hans Havermann, Table of n, a(n) for n=1..265

E. Angelini, A Recurring Digital Invariant variant

H. Havermann, Self-serving altruistic numbers

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).

Cf. A005188. The "Recurring Digital Invariant Variant" is described in more detail in A151543.

Sequence in context: A065663 A072884 A072889 this_sequence A165337 A101335 A098215

Adjacent sequences: A157711 A157712 A157713 this_sequence A157715 A157716 A157717

base,nonn,fini

Hans Havermann (pxp(AT)rogers.com), Mar 04 2009