A109229 Describe and add.

1, 12, 1124, 212338, 11434656, 2124676182, 215338937900, 2011338654109729, 20314234480170281558, 20317265802504533296, 50431498946030705115, 50834622289546876944, 50937835732083050773, 50937875857418523592

Offset

1,2

Comments

Start with a(1) = 1.

Describe a(1): 11 (one "1").

Add a(1) to its description to obtain a(2):

a(2) = 1 + 11 = 12.

Describe a(2): 1112.

Add a(2) to its description to obtain a(3):

a(3) = 12 + 1112 = 1124.

Describe a(3): 211214.

Add a(3) to its description to obtain a(4):

a(4) = 1124 + 211214 = 212338.

Describe a(4): 11222318.

Add a(4) to its description to obtain a(5):

a(5) = 212338 + 11222318 = 11434656.

Links

Table of n, a(n) for n=1..14.

Prog

(Perl) -Mbigint -wle '$n=$a=1; while (1) { print "$n: $a"; ++$n; $a = desc($a) + $a } sub desc { my %a; ++$a{$_} for split //, shift; join "", map +($a{$_}, $_), sort { $a <=> $b } keys %a }'

Crossrefs

Sequence in context: A325906 A181718 A004073 * A112457 A091782 A291952

Adjacent sequences: A109226 A109227 A109228 * A109230 A109231 A109232

Keyword

base,easy,nonn

Author

Eric Angelini and Hugo van der Sanden, Aug 19 2005

Status

approved