A164850 Squaded sum of digits of the number equals the product of digits of the (same) number

0, 1, 88888888, 444777788, 444777878, 444777887, 444778778, 444778787, 444778877, 444787778, 444787787, 444787877, 444788777, 444877778, 444877787, 444877877, 444878777, 444887777, 447477788, 447477878, 447477887, 447478778

Offset

0,3

Comments

(sum of digits)^x = (product of digits) Do not work for any number if x > 4. [From Boris Hostnik (megpplus(AT)siol.net), Sep 04 2009]

Links

Table of n, a(n) for n=0..21.

Example

88888888 is in the sequence because (1) squaded sum of its digits is (8+8+8+8+8+8+8+8)^4=16777216, (2) the product of its digits is 8*8*8*8*8*8*8*8=16777216 ; 16777216=16777216

Crossrefs

Sequence in context: A114259 A234981 A054434 * A253269 A227654 A069318

Adjacent sequences: A164847 A164848 A164849 * A164851 A164852 A164853

Keyword

base,nonn

Author

Boris Hostnik (megpplus(AT)siol.net), Aug 28 2009

Status

approved