The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A300455 Logarithmic transform of the triangular numbers A000217. 2
 0, 1, 2, -1, -11, 19, 201, -764, -7426, 52137, 448435, -5377604, -38712486, 777663613, 4258812299, -149524753650, -505685566184, 36733876797025, 30910872539763, -11174584391207360, 25170998506744790, 4101787001153848461, -24862093152821214653, -1776483826032814964966 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..450 M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to arXiv version] M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to Lin. Alg. Applic. version together with omitted figures] N. J. A. Sloane, Transforms Eric Weisstein's World of Mathematics, Logarithmic Transform Eric Weisstein's World of Mathematics, Triangular Number FORMULA E.g.f.: log(1 + exp(x)*x*(x + 2)/2). EXAMPLE E.g.f.: A(x) = x/1! + 2*x^2/2! - x^3/3! - 11*x^4/4! + 19*x^5/5! + 201*x^6/6! - 764*x^7/7! - 7426*x^8/8! + ... MAPLE a:= proc(n) option remember; (t-> `if`(n=0, 0, t(n) -add(j*       binomial(n, j)*t(n-j)*a(j), j=1..n-1)/n))(i->i*(i+1)/2)     end: seq(a(n), n=0..25);  # Alois P. Heinz, Mar 06 2018 MATHEMATICA nmax = 23; CoefficientList[Series[Log[1 + Exp[x] x (x + 2)/2], {x, 0, nmax}], x] Range[0, nmax]! CROSSREFS Cf. A000217, A009306, A033464, A279361, A300452. Sequence in context: A120293 A063624 A101851 * A270264 A305877 A111724 Adjacent sequences:  A300452 A300453 A300454 * A300456 A300457 A300458 KEYWORD sign AUTHOR Ilya Gutkovskiy, Mar 06 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified February 26 21:58 EST 2020. Contains 332295 sequences. (Running on oeis4.)