The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A114003 Rows sums of triangle A114002. 8
 1, 3, 3, 5, 3, 7, 3, 7, 5, 7, 3, 11, 3, 7, 7, 9, 3, 11, 3, 11, 7, 7, 3, 15, 5, 7, 7, 11, 3, 15, 3, 11, 7, 7, 7, 17, 3, 7, 7, 15, 3, 15, 3, 11, 11, 7, 3, 19, 5, 11, 7, 11, 3, 15, 7, 15, 7, 7, 3, 23, 3, 7, 11, 13, 7, 15, 3, 11, 7, 15, 3, 23, 3, 7, 11, 11, 7, 15, 3, 19, 9, 7, 3, 23, 7, 7, 7, 15, 3, 23, 7, 11, 7, 7, 7, 23, 3 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Antti Karttunen, Table of n, a(n) for n = 1..10000 FORMULA a(p) = 3, for primes p. a(n) = 2*A000005(n) - 1. - Vladeta Jovovic, Sep 13 2006 Equals A051731 * [1, 2, 2, 2, ...]. - Gary W. Adamson, Sep 21 2007 G.f.: Sum_{n>0} x^n*(1+x^n)/(1-x^n). - Franklin T. Adams-Watters, Oct 09 2009 MATHEMATICA Table[2 DivisorSigma[0, n]-1, {n, 97}] (* Stefano Spezia, Sep 08 2023 *) PROG (PARI) N=66; x='x+O('x^N); /* that many terms */ Vec(sum(n=1, N, x^n*(1+x^n)/(1-x^n))) /* show terms */ /* Joerg Arndt, May 25 2011 */ (PARI) A114003(n) = (2*numdiv(n))-1; \\ After Jovovic's formula. Antti Karttunen, May 25 2017 CROSSREFS Also row sums of triangle A144515. - Gary W. Adamson, Nov 21 2007 Cf. A000005, A051731, A114002. Sequence in context: A243729 A200810 A365710 * A219792 A029622 A015126 Adjacent sequences: A114000 A114001 A114002 * A114004 A114005 A114006 KEYWORD nonn AUTHOR Paul Barry, Nov 12 2005 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 19 14:45 EDT 2024. Contains 372698 sequences. (Running on oeis4.)