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!)
 A008354 (5*n^2 + 1) * n^2 / 6. 3
 0, 1, 14, 69, 216, 525, 1086, 2009, 3424, 5481, 8350, 12221, 17304, 23829, 32046, 42225, 54656, 69649, 87534, 108661, 133400, 162141, 195294, 233289, 276576, 325625, 380926, 442989, 512344, 589541 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Omitting the leading 0, these are the partial sums of the centered icosahedral (or cuboctahedral) numbers (A005902). - Jonathan Vos Post, Mar 14 2006 LINKS Index entries for linear recurrences with constant coefficients, signature (5, -10, 10, -5, 1). FORMULA O.g.f.: x(1+x)(x^2+8x+1)/(1-x)^5. a(n) = n*A004068(n). - R. J. Mathar, Aug 10 2008 a(0)=0, a(1)=1, a(2)=14, a(3)=69, a(4)=216, a(n)=5*a(n-1)-10*a(n-2)+ 10*a(n-3)- 5*a(n-4)+a(n-5). - Harvey P. Dale, Feb 12 2015 MAPLE 5*n^4/6 + n^2/6; MATHEMATICA Table[(n^2 (5n^2+1))/6, {n, 0, 30}] (* or *) LinearRecurrence[{5, -10, 10, -5, 1}, {0, 1, 14, 69, 216}, 30] (* Harvey P. Dale, Feb 12 2015 *) CROSSREFS Cf. A005901, A005902, A008354. Sequence in context: A238822 A244943 A249708 * A051879 A236157 A002423 Adjacent sequences:  A008351 A008352 A008353 * A008355 A008356 A008357 KEYWORD nonn AUTHOR EXTENSIONS Definition corrected by R. J. Mathar, Aug 10 2008 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.

Last modified November 23 21:46 EST 2017. Contains 295141 sequences.