This site is supported by donations to The OEIS Foundation.

 Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS". Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A110064 a(n+4) = a(n+1) - a(n), a(0) = 1, a(1) = -4, a(2) = 0, a(3) = 1. 3
 1, -4, 0, 1, -5, 4, 1, -6, 9, -3, -7, 15, -12, -4, 22, -27, 8, 26, -49, 35, 18, -75, 84, -17, -93, 159, -101, -76, 252, -260, 25, 328, -512, 285, 303, -840, 797, 18, -1143, 1637, -779, -1161, 2780, -2416, -382, 3941, -5196, 2034, 4323, -9137, 7230, 2289, -13460, 16367, -4941, -15749, 29827, -21308, -10808 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS One of several sequences, apparently all of the form a(n+4) = a(n+1) - a(n), which appear to "spiral outwards" when plotted against each other (see A110061-64). In reference to the FAMP program code, A017817 is also in this same batch of sequences and satisfies the same recurrence relation. LINKS Index entries for linear recurrences with constant coefficients, signature (0,0,1,-1). FORMULA Expansion of (4*x-1)/(1-x^3+x^4) MAPLE seriestolist(series(-(-1+4*x)/(1-x^3+x^4), x=0, 60)); -or- Floretion Algebra Multiplication Program, FAMP Code: 4kbaseseq[A*B] with A = + .5'i + .5'j + .5'k + .5e and B = - .5'i - .25'j + .25'k - .5i' - .25j' + .25k' - .5'ii' - .25'ij' - .25'ik' - .25'ji' - .25'ki' - .5e MATHEMATICA LinearRecurrence[{0, 0, 1, -1}, {1, -4, 0, 1}, 60] (* Harvey P. Dale, Oct 23 2016 *) CROSSREFS Cf. A110061, A110062, A110063, A017817. Sequence in context: A178103 A147309 A147308 * A021253 A136586 A092746 Adjacent sequences:  A110061 A110062 A110063 * A110065 A110066 A110067 KEYWORD easy,sign 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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.