login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A304205
Numbers k such that 24*k + 6 is congruent to 0 (mod 49).
1
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
Jahgwon Ju, Universal sums of generalized pentagonal numbers, arXiv:1805.03434 [math.NT], 2018, page 5 (see Case 4-1).
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
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, May 10 2018
STATUS
approved