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!)
 A110052 Expansion of x*(-1+4*x)/((x-1)*(2*x-1)*(4*x^2+4*x-1)). 2
 0, 1, 3, 11, 43, 187, 859, 4059, 19419, 93403, 450267, 2172635, 10487515, 50632411, 244463323, 1180350171, 5699188443, 27518023387, 132868585179, 641545909979, 3097656932059, 14956809271003, 72217860617947, 348698671167195 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Colin Barker, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (7,-10,-4,8). FORMULA From Colin Barker, May 01 2019: (Start) a(n) = (-3/7 + 2^(-1+n) - ((-4+sqrt(2))*(2*(1+sqrt(2)))^n + (2-2*sqrt(2))^n*(4+sqrt(2))) / (28*sqrt(2))). a(n) = 7*a(n-1) - 10*a(n-2) - 4*a(n-3) + 8*a(n-4) for n>3. (End) MAPLE seriestolist(series(x*(-1+4*x)/((x-1)*(2*x-1)*(4*x^2+4*x-1)), x=0, 25)); -or- Floretion Algebra Multiplication Program, FAMP Code: 2basekrokseq:[A*B] with A = + 'i - .5'j + .5'k - .5j' + .5k' - 'ii' - .5'ij' - .5'ik' - .5'ji' - .5'ki' and B = - .5'i + .5'j + 'k - .5i' + .5j' - 'kk' - .5'ik' - .5'jk' - .5'ki' - .5'kj'; RokType: Y[15] = Y[15] + 1/2 PROG (PARI) concat(0, Vec(x*(1 - 4*x) / ((1 - x)*(1 - 2*x)*(1 - 4*x - 4*x^2)) + O(x^30))) \\ Colin Barker, May 01 2019 CROSSREFS Cf. A110050, A110051, A110053, A110054. Sequence in context: A049152 A151104 A138787 * A300626 A126282 A039627 Adjacent sequences:  A110049 A110050 A110051 * A110053 A110054 A110055 KEYWORD easy,nonn AUTHOR Creighton Dement, Jul 10 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 16 14:39 EDT 2021. Contains 343949 sequences. (Running on oeis4.)