A260273 -id:A260273 - cp's OEIS frontend

A262288 a(0)=0; thereafter add the smallest positive number that is not a substring.

0, 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, 83, 84, 85, 86, 87, 88, 89, 90, 91, 93, 94, 95, 96, 97, 98, 99, 100, 102, 105, 107

Offset: 0

N. J. A. Sloane, Sep 19 2015

			In a(13) = 19 we can see a 1 but no 2, so a(14) = 19+2 = 21. Now we can see a 1 and a 2 but no 3, so a(15) = 21+3 = 24.

Decimal analog of A260273.

Cf. A261793.

r[n_]:=Rest[Subsets[IntegerDigits[n]]];
s[n_]:=Union[FromDigits/@r[n]];firstN[0]=1;firstN[1]=2;
firstN[n_]:=Min[Select[Range[Last[s[n]]],FreeQ[s[n],#]&]];
nextTerm[n_]:=n+firstN[n];FoldList[nextTerm[#]&,0,Range@87] (* Ivan N. Ianakiev, Sep 20 2015 *)

a(n) = A261793(n) for n >= 1. - Georg Fischer, Oct 30 2018

Typo in a(61) corrected by Ivan N. Ianakiev, Sep 20 2015

A261926 First differences of A261416.

Original entry on oeis.org

3, 3, 3, 6, 3, 3, 6, 9, 5, 6, 5, 7, 9, 5, 6, 3, 3, 6, 9, 5, 7, 5, 9, 3, 5, 3, 6, 3, 3, 6, 10, 6, 7, 7, 9, 5, 5, 5, 7, 7, 5, 5, 9, 9, 9, 5, 6, 3, 3, 6, 9, 5, 6, 5, 7, 10, 6, 7, 3, 6, 9, 7, 7, 9

Offset: 1

N. J. A. Sloane, Sep 17 2015

nonn

Cf. A261416, A260273.

A262290 a(0)=0; thereafter, add the smallest nonzero binary number, not a power of 2, that is not a substring of the binary expansion of a(n).

Original entry on oeis.org

0, 3, 8, 11, 17, 20, 23, 29, 38, 43, 49, 54, 61, 70, 75, 81, 84, 87, 93, 102, 107, 114, 119, 128, 131, 136, 139, 145, 148, 151, 157, 167, 173, 180, 187, 196, 201, 206, 211, 218, 225, 230, 235, 244, 253, 262, 267, 273, 276, 279, 285, 294, 299, 305, 310, 317, 327, 333, 340, 343, 349, 358, 365, 372, 381

Offset: 0

N. J. A. Sloane, Sep 19 2015

Cf. A260273, A262289.

Identical to A261416 except for first two terms.

a(n+1) = a(n) + A262289(a(n)).

cp's OEIS Frontend

A262288 a(0)=0; thereafter add the smallest positive number that is not a substring.

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A261926 First differences of A261416.

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A262290 a(0)=0; thereafter, add the smallest nonzero binary number, not a power of 2, that is not a substring of the binary expansion of a(n).

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Author

Keywords

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Formula