The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A027850 a(n) = (n+1)*(14*n^3+13*n^2+6*n+1). 1
 1, 68, 531, 2056, 5645, 12636, 24703, 43856, 72441, 113140, 168971, 243288, 339781, 462476, 615735, 804256, 1033073, 1307556, 1633411, 2016680, 2463741, 2981308, 3576431, 4256496, 5029225, 5902676 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Harvey P. Dale, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (5, -10, 10, -5, 1). FORMULA a(0)=1, a(1)=68, a(2)=531, a(3)=2056, a(4)=5645, a(n)=5*a(n-1)- 10*a(n-2)+ 10*a(n-3)-5*a(n-4)+a(n-5) Harvey P. Dale, May 21 2012 G.f.: (-71*x^3-201*x^2-63*x-1)/(x-1)^5 Harvey P. Dale, May 21 2012 MATHEMATICA (* From Harvey P. Dale, May 21 2012: (Start) *) Table[(n+1) (14 n^3+13 n^2+6 n+1), {n, 0, 30}] LinearRecurrence[ {5, -10, 10, -5, 1}, {1, 68, 531, 2056, 5645}, 30] (* End *) PROG (PARI) a(n)=(n+1)*(14*n^3+13*n^2+6*n+1) \\ Charles R Greathouse IV, Oct 21 2022 CROSSREFS Sequence in context: A281770 A032510 A211691 * A372401 A248467 A281565 Adjacent sequences: A027847 A027848 A027849 * A027851 A027852 A027853 KEYWORD nonn,easy AUTHOR N. J. A. Sloane. 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 June 20 13:44 EDT 2024. Contains 373527 sequences. (Running on oeis4.)