cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A258194 Positions of zeros in A258193.

Original entry on oeis.org

1, 2, 3, 4, 8, 82, 107, 166, 178, 250, 298, 359, 490, 503, 514, 597, 634, 647, 730, 740, 756, 759, 850, 866, 908, 922, 928, 980, 1043, 1079, 1224, 1361, 1377, 1462, 1463, 1480, 1484, 1518, 1564, 1582, 1702, 1724, 1732, 1822, 1882, 1885, 1935, 1955, 1970, 2198
Offset: 1

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Author

Keywords

Crossrefs

Cf. A258193.

A258195 Define a<+>b = odd part(odd part(a) + odd part(b)), where odd part(n) = A000265(n); a(n) is not already appeared prime of the form <+>_{1<=i<=k}i with the smallest k, or a(n)=0 if there is no such k (see comment).

Original entry on oeis.org

3, 5, 7, 17, 19, 23, 11, 13, 53, 37, 47, 43, 29, 61, 31, 41, 83, 79, 73, 103, 137, 109, 113, 151, 149, 139, 193, 157, 167, 71, 199, 229, 179, 181, 223, 191, 107, 173, 97, 269, 241, 101, 59, 233, 197, 227, 251, 263, 89, 211, 239, 131, 293, 67, 307, 379, 277
Offset: 1

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Author

Vladimir Shevelev, May 23 2015

Keywords

Comments

f(n)=<+>{1<=i<=n}i is defined by the following: f(1)=1, for n>=2, f(n)=f(n-1)<+>n.
Conjecture: the sequence is a permutation of the odd primes.

Crossrefs

Cf. A258193.

Programs

  • Mathematica
    vSum[a_,b_]:=#[#[a]+#[b]]&[#/2^IntegerExponent[#,2]&];
    DeleteDuplicates[Select[FoldList[vSum,0,Range[500]],PrimeQ]] (* Peter J. C. Moses, May 23 2015 *)

Extensions

More terms from Peter J. C. Moses, May 23 2015
Showing 1-2 of 2 results.