A174908 Numbers n such that the sum of the 4th powers of their digits > n.

2, 3, 4, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17, 18, 19, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73

Offset

1,1

Comments

The sequence is finite and contains 5832 numbers. If n > 19999, sum of 4th powers of digits < n (see reference).

References

J.M. De Koninck, Ces nombres qui nous fascinent. Entry 19999 p.212. Ellipses 2008.

Links

Nathaniel Johnston, Table of n, a(n) for n = 1..5832 (full sequence)

Example

73 is in the sequence because 7^4 + 3^4 = 2482 > 73.

Maple

with(numtheory):k:=0:for n from 1 to 20000 do:l:=length(n):n0:=n:s:=0:for
  m from 1 to l do:q:=n0:u:=irem(q, 10):v:=iquo(q, 10):n0:=v :s:=s+u^4:od: if s>n then k:=k+1:printf(`%d, `, n):else fi:od:print(k):

Crossrefs

Sequence in context: A102487 A343951 A102234 * A344543 A082757 A239089

Adjacent sequences: A174905 A174906 A174907 * A174909 A174910 A174911

Keyword

nonn,easy,base,fini,full

Author

Michel Lagneau, Dec 02 2010

Status

approved