A157714 - OEIS

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A157714

Base-10 pseudo-altruistic numbers

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 (list; graph; refs; listen; history; internal format)

	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` `H. Havermann, Self-serving altruistic numbers`
	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: A065663 A072884 A072889 * A165337 A101335 A098215` `Adjacent sequences: A157711 A157712 A157713 * A157715 A157716 A157717`
	KEYWORD	`base,nonn,fini`
	AUTHOR	`Hans Havermann (gladhobo(AT)teksavvy.com), Mar 04 2009`

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Last modified February 17 20:50 EST 2012. Contains 206085 sequences.