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!)
 A109164 a(n) = 4*a(n-1) - 4*a(n-2) + a(n-3), n >= 3. 0
 1, 6, 20, 57, 154, 408, 1073, 2814, 7372, 19305, 50546, 132336, 346465, 907062, 2374724, 6217113, 16276618, 42612744, 111561617, 292072110, 764654716, 2001892041, 5241021410, 13721172192, 35922495169, 94046313318, 246216444788 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS FORMULA a(n) - a(n-1) = A054486(n+1). G.f.: (2*x+1)/((1-x)*(x^2-3*x+1)). MATHEMATICA Join[{a=1, b=6}, Table[c=3*b-1*a+3; a=b; b=c, {n, 60}]] (* Vladimir Joseph Stephan Orlovsky, Jan 28 2011*) LinearRecurrence[{4, -4, 1}, {1, 6, 20}, 30] (* Harvey P. Dale, Apr 14 2016 *) PROG Floretion Algebra Multiplication Program, FAMP Code: 4tessumseq[ + .25'i + .25i' + .25'ii' + .25'jj' + .25'kk' + .25'jk' + .25'kj' + .25e], sumtype: (Y[15], *, vesy) CROSSREFS Cf. A054486. Sequence in context: A292480 A200528 A127982 * A212689 A027984 A018808 Adjacent sequences:  A109161 A109162 A109163 * A109165 A109166 A109167 KEYWORD easy,nonn AUTHOR Creighton Dement, Aug 18 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.