The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A204674 a(n) = 4*n^3 + 5*n^2 + 2*n + 1. 6
 1, 12, 57, 160, 345, 636, 1057, 1632, 2385, 3340, 4521, 5952, 7657, 9660, 11985, 14656, 17697, 21132, 24985, 29280, 34041, 39292, 45057, 51360, 58225, 65676, 73737, 82432, 91785, 101820, 112561, 124032, 136257, 149260, 163065, 177696, 193177, 209532, 226785, 244960, 264081 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Andrew Howroyd, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1). FORMULA a(n) = (4*n^2 + n + 1) * (n + 1). G.f.: (1 + 3*x)*(1 + 5*x)/(1 - x)^4. - Andrew Howroyd, Jan 07 2020 MATHEMATICA LinearRecurrence[{4, -6, 4, -1}, {1, 12, 57, 160}, 50] (* or *) CoefficientList[ Series[(1+3x)(1+5x)/(1-x)^4, {x, 0, 50}], x] (* Harvey P. Dale, Jun 25 2021 *) PROG (Haskell) a204674 n = n * (n * (4 * n + 5) + 2) + 1 (PARI) a(n)={ 4*n^3 + 5*n^2 + 2*n + 1 } \\ Andrew Howroyd, Jan 07 2020 CROSSREFS Row sums of A033293. Cf. A054567, A226449. Sequence in context: A224832 A139256 A166997 * A123983 A212682 A212134 Adjacent sequences:  A204671 A204672 A204673 * A204675 A204676 A204677 KEYWORD nonn,easy AUTHOR Reinhard Zumkeller, Jan 18 2012 EXTENSIONS Terms a(26) and beyond from Andrew Howroyd, Jan 07 2020 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 16 05:10 EDT 2022. Contains 353693 sequences. (Running on oeis4.)