A195819 Multiples of 29.

0, 29, 58, 87, 116, 145, 174, 203, 232, 261, 290, 319, 348, 377, 406, 435, 464, 493, 522, 551, 580, 609, 638, 667, 696, 725, 754, 783, 812, 841, 870, 899, 928, 957, 986, 1015, 1044, 1073, 1102, 1131, 1160, 1189, 1218, 1247, 1276, 1305, 1334

Offset: 0

Author

Omar E. Pol, Oct 12 2011

Keywords

• nonn
• easy

Comments

Length of hypotenuses on the main diagonal of the Pythagorean spiral whose edges have length A195033 and whose vertices are the numbers A195034, if n >= 1.

Links

• Luis Manuel Rivera, Integer sequences and k-commuting permutations, arXiv preprint arXiv:1406.3081 [math.CO], 2014-2015.
• Index entries for linear recurrences with constant coefficients, signature (2,-1).

Crossrefs

Cf. A004922, A004942, A008605, A010868, A135631, A195033, A195034.

Programs

Mathematica

29Range[0,50] (* Harvey P. Dale, Oct 25 2011 *)

Formula

a(n) = 29*n.

From Elmo R. Oliveira, Mar 21 2024: (Start)

G.f.: 29*x/(x-1)^2.

E.g.f.: 29*x*exp(x).

a(n) = 2*a(n-1) - a(n-2) for n >= 2. (End)