A267298 Integers k such that the k-th prime divides the product of the first k nonzero Jacobsthal numbers.

5, 11, 14, 21, 24, 30, 31, 36, 53, 54, 55, 60, 61, 63, 67, 68, 78, 84, 88, 95, 105, 110, 113, 115, 116, 117, 122, 124, 125, 131, 141, 152, 162, 164, 170, 174, 176, 177, 184, 185, 192, 196, 199, 204, 216, 226, 234, 245, 255, 260, 267, 273, 275, 279, 280, 304, 305, 316, 319, 324, 339, 349, 356, 358, 366

Offset

1,1

Comments

If any A001045(j) has a prime divisor p where p is the k-th prime for 1 <= j <= k, then k is a term of this sequence.

Links

Table of n, a(n) for n=1..65.

Example

5 is a term because A001045(5) = 11 is divisible by 11.

Prog

(PARI) a001045(n) = (2^n - (-1)^n) / 3;
lista(nn) = for(n=1, nn, my(p = prime(n)); if (lift(prod(i=1, n, Mod(a001045(i), p))) == 0, print1(n, ", ")));

Crossrefs

Cf. A001045, A269694.

Sequence in context: A084864 A284396 A313999 * A102801 A314000 A336177

Adjacent sequences: A267295 A267296 A267297 * A267299 A267300 A267301

Keyword

nonn

Author

Altug Alkan, Apr 07 2016

Status

approved