A249278 -id:A249278 - cp's OEIS frontend

A249279 Inverse permutation of A249278 (such that first digit of a(n+1) has parity of a(n)).

0, 7, 1, 8, 2, 9, 3, 10, 4, 11, 12, 15, 16, 19, 20, 23, 24, 27, 28, 31, 5, 6, 13, 14, 17, 18, 21, 22, 25, 26, 32, 35, 36, 39, 40, 43, 44, 47, 48, 51, 29, 30, 33, 34, 37, 38, 41, 42, 45, 46, 52, 55, 56, 59, 60, 63, 64, 67, 68, 71, 49, 50, 53, 54, 57, 58, 61, 62, 65, 66, 72, 75, 76

Offset: 0

M. F. Hasler, Oct 24 2014

nonn

Reinhard Zumkeller, Table of n, a(n) for n = 0..10000
Index entries for sequences that are permutations of the natural numbers

import Data.List (elemIndex); import Data.Maybe (fromJust)
a249279 = fromJust . (`elemIndex` a249278_list)
-- Reinhard Zumkeller, Oct 27 2014

N=100;vector(N,n,t=0;for(i=1,#A249278,A249278[i]==n-1&&(t=i)&&break);t-1)

A249494 Lexicographically earliest permutation of the positive integers such that the parity of the first digit of a(n+1) equals that of a(n)'s last digit.

Original entry on oeis.org

1, 3, 5, 7, 9, 10, 2, 4, 6, 8, 20, 21, 11, 12, 22, 23, 13, 14, 24, 25, 15, 16, 26, 27, 17, 18, 28, 29, 19, 30, 40, 41, 31, 32, 42, 43, 33, 34, 44, 45, 35, 36, 46, 47, 37, 38, 48, 49, 39, 50, 60, 61, 51, 52, 62, 63, 53, 54, 64, 65, 55, 56, 66, 67, 57, 58, 68, 69, 59, 70, 80, 81, 71, 72, 82, 83, 73, 74, 84, 85, 75, 76, 86, 87, 77, 78, 88, 89, 79, 90, 200

Offset: 1

M. F. Hasler, Oct 30 2014

See A249506 for the inverse permutation.

See A249278 (and inverse A249279) for the variant based on nonnegative integers. A162501 is a variant based not on parity but on equality.

Index entries for sequences that are permutations of the natural numbers

Cf. A249506 (inverse permutation), A249278 (variant starting with 0), A249279 (inverse thereof), A162501 (variant based on equality of digits).

Cf. A000030 (initial digit), A010879 (final digit of n).

a(n,a=1,u=0)=for(n=1,n,for(k=1,9e9, !bittest(u,k)&& k\10^(#Str(k)-1)==Mod(a,2)&& !print1(a=k",")&& break);u+=1<

A249506 Inverse permutation to A249494 (= permutation of the positive integers such that the parity of the first digit of a(n+1) equals that of a(n)'s last digit).

Original entry on oeis.org

1, 7, 2, 8, 3, 9, 4, 10, 5, 6, 13, 14, 17, 18, 21, 22, 25, 26, 29, 11, 12, 15, 16, 19, 20, 23, 24, 27, 28, 30, 33, 34, 37, 38, 41, 42, 45, 46, 49, 31, 32, 35, 36, 39, 40, 43, 44, 47, 48, 50, 53, 54, 57, 58, 61, 62, 65, 66, 69, 51, 52, 55, 56, 59, 60, 63, 64, 67, 68, 70, 73, 74, 77, 78, 81, 82, 85

Offset: 1

M. F. Hasler, Oct 30 2014

nonn

See A249278 and A249279 for the variant based on nonnegative integers; A162501 is a variant based not on parity but on equality.

Index entries for sequences that are permutations of the natural numbers

Cf. A000030, A162501.

a=vector(#A249494);for(i=1,#a,A249494[i]<=#a&&a[A249494[i]]=i);a \\ Result only valid up to the first zero.

cp's OEIS Frontend

A249279 Inverse permutation of A249278 (such that first digit of a(n+1) has parity of a(n)).

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A249494 Lexicographically earliest permutation of the positive integers such that the parity of the first digit of a(n+1) equals that of a(n)'s last digit.

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A249506 Inverse permutation to A249494 (= permutation of the positive integers such that the parity of the first digit of a(n+1) equals that of a(n)'s last digit).

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Author

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PARI