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A113010 {Number of digits of n} raised to the power of {the sum of the digits of n}. 1
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,11

COMMENTS

n=1 and 32 are two fixed points. Are there any others?

There are no other fixed points less than 10^1000. - Chai Wah Wu, Feb 28 2019

LINKS

Table of n, a(n) for n=0..58.

FORMULA

a(ijk...) [m digits ijk...] = m^(i+j+k+...)

PROG

(Python)

def A113010(n):

    return len(str(n))**sum(int(d) for d in str(n)) # Chai Wah Wu, Feb 28 2019

CROSSREFS

Cf. A101337.

Sequence in context: A194633 A243088 A113699 * A330127 A292568 A056767

Adjacent sequences:  A113007 A113008 A113009 * A113011 A113012 A113013

KEYWORD

base,easy,nonn

AUTHOR

Alexandre Wajnberg, Jan 03 2006

STATUS

approved

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Last modified September 28 19:16 EDT 2021. Contains 347717 sequences. (Running on oeis4.)