A266679 Positive integers not shotgun (or Schrotschuss) numbers, in order of the first number to be permuted forward by the transformations T[k] where k = 2 or k is odd.

2, 3, 5, 7, 10, 11, 13, 21, 17, 19, 30, 23, 27, 25, 29, 31, 45, 42, 37, 54, 41, 43, 65, 47, 50, 69, 53, 66, 78, 59, 61, 63, 86, 67, 93, 71, 73, 105, 85, 79, 74, 83, 110, 117, 89, 112, 126, 115, 97, 99, 101

Offset

1,1

Comments

In the construction of the shotgun numbers (A064494), the first element to be shifted forward by T[k] where k = 2 or k is odd will also be shifted forward by subsequent transformations T[2^n*k], and will therefore not appear in that sequence. In particular, no prime numbers appear in A064494, and an odd prime p is element (p+1)/2 in this list.

Links

Table of n, a(n) for n=1..51.

Crossrefs

Cf. A064494. Sorted gives A064627.

Sequence in context: A117286 A169802 A194948 * A285257 A317407 A379929

Adjacent sequences: A266676 A266677 A266678 * A266680 A266681 A266682

Keyword

nonn

Author

Timothy Mott, Jan 02 2016

Status

approved