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A017329 a(n) = 10*n + 5. 35
5, 15, 25, 35, 45, 55, 65, 75, 85, 95, 105, 115, 125, 135, 145, 155, 165, 175, 185, 195, 205, 215, 225, 235, 245, 255, 265, 275, 285, 295, 305, 315, 325, 335, 345, 355, 365, 375, 385, 395, 405, 415, 425, 435, 445, 455, 465, 475, 485, 495, 505, 515, 525, 535 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Continued fraction expansion of tanh(1/5). - Benoit Cloitre, Dec 17 2002

n such that 5 divides the numerator of B(2n) where B(2n) = the 2n-th Bernoulli number. - Benoit Cloitre, Jan 01 2004

5 times odd numbers. - Omar E. Pol, May 02 2008

5th transversal numbers (or 5-transversal numbers): Numbers of the 5th column of positive numbers in the square array of nonnegative and polygonal numbers A139600. Also, numbers of the 5th column in the square array A057145. - Omar E. Pol, May 02 2008

Successive sums: 5, 20, 45, 80, 125, ... (see A033429). - Philippe Deléham, Dec 08 2011

3^a(n) + 1 is divisible by 61. - Vincenzo Librandi, Feb 05 2013

If the initial 5 is changed to 1, giving 1,15,25,35,45,..., these are values of m such that A323288(m)/m reaches a new record high value. - N. J. A. Sloane, Jan 23 2019

REFERENCES

A. H. Beiler, Recreations in the Theory of Numbers, Dover, NY, 1964, p. 189. - From N. J. A. Sloane, Dec 01 2012

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Tanya Khovanova, Recursive Sequences

Index to sequences related to polygonal numbers

Index entries for linear recurrences with constant coefficients, signature (2,-1).

FORMULA

a(n) = A005408(n)*5. - Omar E. Pol, Oct 19 2008

a(n) = 20*n - a(n-1) (with a(0)=5). - Vincenzo Librandi, Nov 19 2010

G.f.: 5*(x+1)/(x-1)^2. - Colin Barker, Nov 14 2012

a(n) = A057145(n+2,5). - R. J. Mathar, Jul 28 2016

MATHEMATICA

Range[5, 1000, 10] (* Vladimir Joseph Stephan Orlovsky, May 28 2011 *)

PROG

(MAGMA) [10*n + 5: n in [0..60]]; // Vincenzo Librandi, Feb 05 2013

(Haskell)

a017329 = (+ 5) . (* 10)

a017329_list = [5, 15 ..]  -- Reinhard Zumkeller, Apr 10 2015

(PARI) a(n)=10*n+5 \\ Charles R Greathouse IV, Sep 24 2015

CROSSREFS

Cf. A000367, A016957, A057145, A139600, A139606.

Subsequence of A034709, together with A017281, A017293, A139222, A139245, A139249, A139264, A139279 and A139280.

Cf. also A005408, A267541, A323288.

Sequence in context: A323354 A172404 A031322 * A068528 A061443 A168010

Adjacent sequences:  A017326 A017327 A017328 * A017330 A017331 A017332

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified October 23 03:21 EDT 2019. Contains 328335 sequences. (Running on oeis4.)