A304205 Numbers k such that 24*k + 6 is congruent to 0 (mod 49).

12, 61, 110, 159, 208, 257, 306, 355, 404, 453, 502, 551, 600, 649, 698, 747, 796, 845, 894, 943, 992, 1041, 1090, 1139, 1188, 1237, 1286, 1335, 1384, 1433, 1482, 1531, 1580, 1629, 1678, 1727, 1776, 1825, 1874, 1923, 1972, 2021, 2070, 2119, 2168, 2217, 2266, 2315, 2364

Offset

1,1

Comments

Equivalently, indices k for which A016813(k) is a multiple of 49. - Bruno Berselli, May 10 2018

Numbers k such that k == 12 (mod 49). - Joerg Arndt, May 11 2018

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..5000

Jahgwon Ju, Universal sums of generalized pentagonal numbers, arXiv:1805.03434 [math.NT], 2018, page 5 (see Case 4-1).

Index entries for linear recurrences with constant coefficients, signature (1,1,-1).

Formula

G.f.: x*(12 + 25*x - 37*x^2)/(1-x)^3.

a(n) = a(n-1) + a(n-2) - a(n-3).

a(n) = 49*n - 37. - Bruno Berselli, May 11 2018

Mathematica

Table[49 n - 37, {n, 1, 50}] (* Bruno Berselli, May 11 2018 *)

Prog

(Magma) [49*n-37: n in [1..50]];

Crossrefs

Cf. A016813.

Sequence in context: A354882 A044150 A044531 * A240002 A114241 A127766

Adjacent sequences: A304202 A304203 A304204 * A304206 A304207 A304208

Keyword

nonn,easy

Author

Vincenzo Librandi, May 10 2018

Status

approved