login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A157714 Base-10 pseudo-altruistic numbers 3
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; text; 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

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

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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified November 23 09:38 EST 2017. Contains 295115 sequences.