A195819 - OEIS

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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

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OFFSET

0,2

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

Table of n, a(n) for n=0..46.

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).

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)

MATHEMATICA

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