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!)
 A109785 Expansion of (1+x+x^2+x^7+x^8-2*x^10-x^12) / ((x+1)*(x^2+1)*(x^2+x+1)*(x^2-x+1)*(x^4-x^2+1)*(x-1)^2). 1
 1, 2, 3, 3, 3, 3, 3, 4, 5, 5, 3, 3, 3, 4, 5, 5, 5, 5, 5, 6, 7, 7, 5, 5, 5, 6, 7, 7, 7, 7, 7, 8, 9, 9, 7, 7, 7, 8, 9, 9, 9, 9, 9, 10, 11, 11, 9, 9, 9, 10, 11, 11, 11, 11, 11, 12, 13, 13, 11, 11, 11, 12, 13, 13, 13, 13, 13, 14, 15, 15, 13, 13, 13, 14, 15, 15, 15, 15, 15, 16, 17, 17, 15, 15, 15 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Floretion Algebra Multiplication Program, FAMP Code: 1jbasesumseq[(- .5'j + .5'k - .5j' + .5k' - 'ii' - .5'ij' - .5'ik' - .5'ji' - .5'ki')*(- .5'i + .5'j - .5i' + .5j' - 'kk' - .5'ik' - .5'jk' - .5'ki' - .5'kj')], sumtype: (default, ver. f, ves) LINKS Colin Barker, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,0,0,0,0,1,-1). FORMULA a(n) = a(n-1) + a(n-12) - a(n-13) for n>12. - Colin Barker, May 15 2019 MATHEMATICA CoefficientList[Series[(1+x+x^2+x^7+x^8-2x^10-x^12)/((x+1)(x^2+1) (x^2+x+1) (x^2-x+1)(x^4-x^2+1)(x-1)^2), {x, 0, 90}], x] (* Harvey P. Dale, Oct 21 2011 *) PROG (PARI) Vec((1 + x + x^2 + x^7 + x^8 - 2*x^10 - x^12) / ((1 - x)^2*(1 + x)*(1 - x + x^2)*(1 + x^2)*(1 + x + x^2)*(1 - x^2 + x^4)) + O(x^100)) \\ Colin Barker, May 15 2019 CROSSREFS Sequence in context: A068953 A362960 A189635 * A058224 A131808 A196183 Adjacent sequences: A109782 A109783 A109784 * A109786 A109787 A109788 KEYWORD nonn,easy AUTHOR Creighton Dement, Aug 14 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 29 11:24 EDT 2024. Contains 372940 sequences. (Running on oeis4.)