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!)
 A302196 Hurwitz logarithm of triangular numbers [1,3,6,10,15,...]. 0
 0, 3, -3, 10, -51, 348, -2970, 30420, -363510, 4964400, -76272840, 1302058800, -24450287400, 500871016800, -11115524019600, 265655410020000, -6802532278542000, 185802383710944000, -5392136656290384000, 165689154918679392000, -5374132518684161232000, 183484361312817364800000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS In the ring of Hurwitz sequences all members have offset 0. LINKS Table of n, a(n) for n=0..21. Xing Gao and William F. Keigher, Interlacing of Hurwitz series, Communications in Algebra, 45:5 (2017), 2163-2185, DOI: 10.1080/00927872.2016.1226885. FORMULA E.g.f. is log of Sum_{n >= 0} ((n+1)*(n+2)/2)*x^n/n!. MAPLE # first load Maple commands for Hurwitz operations from link in A302189. s:=[seq(n*(n+1)/2, n=1..64)]; Hlog(s); PROG (Sage) A = PowerSeriesRing(QQ, 'x') f = A([binomial(i+2, 2) for i in range(30)]).ogf_to_egf().log() print(list(f.egf_to_ogf())) #F. Chapoton, Apr 11 2020 CROSSREFS Cf. A000217, A302189. Sequence in context: A298899 A205388 A121446 * A340598 A258193 A283220 Adjacent sequences: A302193 A302194 A302195 * A302197 A302198 A302199 KEYWORD sign AUTHOR N. J. A. Sloane and William F. Keigher, Apr 14 2018 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 June 17 23:38 EDT 2024. Contains 373468 sequences. (Running on oeis4.)