A113589 A complementary variation of 'n described': if n is read as "a ones b twos" then a(n) = "one a's two b's", etc.

0, 1, 11, 111, 1111, 11111, 111111, 1111111, 11111111, 111111111, 1, 2, 111, 1111, 11111, 111111, 1111111, 11111111, 111111111, 1111111111, 11, 111, 22, 11111, 111111, 1111111, 11111111, 111111111, 1111111111, 11111111111, 111, 1111, 11111, 222

Offset

0,3

Links

Rémy Sigrist, Table of n, a(n) for n = 0..10000

Formula

a(A002275(n)) = n. - Rémy Sigrist, Feb 09 2022

Example

A045918(10) = 1110 = 'one one one zero', hence a(10) = 'one one, zero ones' = 1.
A045918(11) = 21 = 'two ones', hence a(11) = 'one twos' = 2.
a(123) = 111111.

Prog

(PARI) a(n) = { my (d=[]); while (n, my (t=n%10, k=0); while (n%10==t, n\=10; k++; ); for (i=1, t, d=concat(digits(k), d))); fromdigits(d) } \\ Rémy Sigrist, Feb 09 2022

Crossrefs

Cf. A002275, A045918, A140057, A306366.

Sequence in context: A165370 A134962 A267257 * A366394 A135463 A000042

Adjacent sequences: A113586 A113587 A113588 * A113590 A113591 A113592

Keyword

base,nonn,easy

Author

Amarnath Murthy, Nov 07 2005

Extensions

Extended and corrected by Nathaniel Johnston, Apr 29 2011

a(0) = 0 prepended by Rémy Sigrist, Feb 09 2022

Status

approved