A261795 -id:A261795 - cp's OEIS frontend

A261793 Successively add the smallest number that is not a substring in decimal representation.

1, 3, 4, 5, 6, 7, 8, 9, 10, 12, 15, 17, 19, 21, 24, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 43, 44, 45, 46, 47, 48, 49, 50, 51, 53, 54, 55, 56, 57, 58, 59, 60, 61, 63, 64, 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 76, 77, 78, 79, 80, 81

Offset: 1

Reinhard Zumkeller, Sep 01 2015

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Cf. A031298, A261794, A261795 (first differences), A261806, A260273, A261786

a261793 n = a261793_list !! (n-1)
a261793_list = iterate (\x -> x + a261794 x) 1

A261789 First differences of A261786.

Original entry on oeis.org

2, 2, 3, 1, 2, 4, 3, 1, 3, 3, 3, 2, 2, 4, 2, 5, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 1, 4, 3, 2, 2, 4, 2, 4, 4, 4, 4, 2, 5, 5, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 1, 4, 3, 4, 4, 5, 3, 3, 3, 3, 3, 1, 4, 3, 4, 3, 3, 1, 4, 3, 2, 2, 4, 2, 4, 4

Offset: 1

Reinhard Zumkeller, Sep 01 2015

nonn

a(n) = A261787(A261786(n)).

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Cf. A261645, A261461, A261786, A261018, A261795.

a261789 n = a261789_list !! (n-1)
a261789_list = zipWith (-) (tail a261786_list') a261786_list'

A261794 a(n) is the smallest nonzero number that is not a substring of n in decimal representation.

Original entry on oeis.org

1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1

Offset: 0

Reinhard Zumkeller, Sep 01 2015

A261795(n) = a(A261793(n)).

Reinhard Zumkeller, Table of n, a(n) for n = 0..10000

Cf. A007089, A031298, A261795, A261793, A261461, A261787.

import Data.List (isInfixOf)
a261794 x = f $ tail a031298_tabf where
   f (cs:css) = if isInfixOf cs (a031298_row x)
                   then f css else foldr (\d v -> 10 * v + d) 0 cs

Name corrected by Álvar Ibeas, Sep 08 2020

cp's OEIS Frontend

A261793 Successively add the smallest number that is not a substring in decimal representation.

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A261789 First differences of A261786.

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A261794 a(n) is the smallest nonzero number that is not a substring of n in decimal representation.

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