A261794 -id:A261794 - cp's OEIS frontend

A261787 a(n) is the smallest nonzero number that is not a substring of n in ternary representation.

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

Offset: 0

Reinhard Zumkeller, Sep 01 2015

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

Cf. A007089, A030341, A261789, A261786, A261461, A261794.

import Data.List (isInfixOf)
a261787 x = f $ tail a030341_tabf where
   f (cs:css) = if isInfixOf cs (a030341_row x)
                   then f css else foldr (\d v -> 3 * v + d) 0 cs

ts(n) = Str(fromdigits(digits(n, 3)));
a(n) = my(s=ts(n), k=1); while (#strsplit(s, ts(k)) != 1, k++); k; \\ Michel Marcus, Feb 05 2022

A261789(n) = a(A261786(n)).

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

Original entry on oeis.org

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

A261795 First differences of A261793.

Original entry on oeis.org

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

Offset: 1

Reinhard Zumkeller, Sep 01 2015

nonn

a(n) = A261794(A261793(n)).

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

Cf. A261794, A261793, A261018, A261789.

a261795 n = a261795_list !! (n-1)
a261795_list = zipWith (-) (tail a261793_list') a261793_list'

cp's OEIS Frontend

A261787 a(n) is the smallest nonzero number that is not a substring of n in ternary representation.

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

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A261795 First differences of A261793.

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