A307152 a(n) = floor((A002144(n)+19)/24).

1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9, 10, 10, 10, 11, 12, 12, 12, 13, 13, 14, 14, 15, 15, 16, 17, 17, 17, 17, 18, 18, 19, 19, 20, 22, 22, 23, 24, 24, 24, 25, 25, 26, 26

Offset

1,4

Comments

This sequence arises in several different contexts [Kramer].

The number of occurrences of k in the sequence is A296021(6*k) - A296021(6*k-6). - Robert Israel, Mar 31 2019

Original name was: "Floor( (q+19)/24 ) where q is a prime == 1 (mod 4)." - Robert Israel, Apr 07 2019

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Jürg Kramer, On the linear independence of certain theta-series, Mathematische Annalen 281.2 (1988): 219-228. See page 226.

Maple

map(t -> floor((t+19)/24), select(isprime, [seq(i, i=1..1000, 4)])); # Robert Israel, Mar 31 2019

Mathematica

Table[Floor[(q + 19)/24], {q, Select[Range[1, 650, 4], PrimeQ]}] (* Michael De Vlieger, Mar 31 2019 *)

Crossrefs

Cf. A002144, A296021.

Sequence in context: A226033 A054404 A334415 * A008671 A199017 A189709

Adjacent sequences: A307149 A307150 A307151 * A307153 A307154 A307155

Keyword

nonn

Author

N. J. A. Sloane, Mar 31 2019

Status

approved