A138482 -id:A138482 - cp's OEIS frontend

A138480 Autobiographical numbers: the first digit specifies how many 0's in the number, the next digit specifies how many 1's, etc. This version is not limited to 10 digits.

1210, 2020, 21200, 3211000, 42101000, 521001000, 6210001000, 72100001000, 821000001000, 9210000001000

Offset: 1

Martin Fuller, Mar 20 2008

			72100001000 has 7 digits equal to "0", 2 digits equal to "1", 1 digit each "2" and "7" and no other digits.

E. Angelini, "Jeux de suites", in Dossier Pour La Science, pp. 32-35, Volume 59 (Jeux math'), April/June 2008, Paris.

Shyam Sunder Gupta, On Some Special Numbers, Exploring the Beauty of Fascinating Numbers, Springer (2025) Ch. 22, 527-565.
Tanya Khovanova, Can you solve the Leonardo da Vinci riddle?, TED-Ed YouTube channel.

Autobiographical numbers up to 10 digits: A046043. Mutually-praising pairs: A138481 and A138482.

A138481 Mutually-praising pairs excluding autobiographical numbers A046043. Version 1: both numbers in a pair have at most 10 digits.

Original entry on oeis.org

130, 230, 430, 530, 630, 730, 1101, 2210, 10110, 11200, 23100, 43100, 53100, 63100, 211100, 230100, 311100, 411100, 430100, 511100, 530100, 611100, 630100, 711100, 1001100, 2300100, 4211000, 4300100, 5211000, 5300100, 6211000, 6300100

Offset: 1

Tanya Khovanova, Mar 18 2008

			130 and 1101 are a mutually-praising pair: 130 specifies a number with 1 digit equal to "0", 3 digit "1" and nothing else. 1101 specifies 1 digit "0", 1 digit "1", no digits "2" and 1 digit "3".

Martin Fuller, Table of n, a(n) for n = 1..74
Tanya Khovanova, Autobiographical Numbers

Cf. A046043, A138482.

More terms from Joshua Zucker, Mar 19 2008 and Martin Fuller, Mar 20 2008

cp's OEIS Frontend

A138480 Autobiographical numbers: the first digit specifies how many 0's in the number, the next digit specifies how many 1's, etc. This version is not limited to 10 digits.

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