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A017329 a(n) = 10n + 5. 29
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)/4 is divisible by 61. - Vincenzo Librandi, Feb 05 2013

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.

Cf. A016957, A057145, A139600, A139606.

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

Cf. A005408. - Omar E. Pol, Oct 19 2008

Cf. A267541. - Bruno Berselli, Jan 20 2016

Sequence in context: A277592 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 April 26 03:45 EDT 2017. Contains 285426 sequences.