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!)
 A098583 Expansion of (1+2*x+4*x^2+8*x^3+16*x^4)/(1-x-32*x^6). 1
 1, 3, 7, 15, 31, 31, 63, 159, 383, 863, 1855, 2847, 4863, 9951, 22207, 49823, 109183, 200287, 355903, 674335, 1384959, 2979295, 6473151, 12882335, 24271231, 45849951, 90168639, 185506079, 392646911, 804881631, 1581561023, 3048759455 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,32). FORMULA a(n) = a(n-1) + 32*a(n-6). a(n) = Sum_{k=0..n} binomial(n-k, floor(k/5)) * 2^k. MATHEMATICA CoefficientList[Series[(1+2x+4x^2+8x^3+16x^4)/(1-x-32x^6), {x, 0, 40}], x] (* or *) LinearRecurrence[{1, 0, 0, 0, 0, 32}, {1, 3, 7, 15, 31, 31}, 40] (* Harvey P. Dale, May 02 2014 *) PROG (PARI) x='x+O('x^30); Vec((1+2*x+4*x^2+8*x^3+16*x^4)/(1-x-32*x^6)) \\ G. C. Greubel, Feb 03 2018 (MAGMA) I:=[1, 3, 7, 15, 31, 31]; [n le 6 select I[n] else Self(n-1) + 32*Self(n-6): n in [1..30]]; // G. C. Greubel, Feb 03 2018 CROSSREFS Cf. A098582. Sequence in context: A064084 A090633 A320024 * A275531 A275532 A212315 Adjacent sequences:  A098580 A098581 A098582 * A098584 A098585 A098586 KEYWORD easy,nonn AUTHOR Paul Barry, Sep 16 2004 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 23 00:28 EST 2020. Contains 332157 sequences. (Running on oeis4.)