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!)
 A001594 6^n + n^6. 8
 1, 7, 100, 945, 5392, 23401, 93312, 397585, 1941760, 10609137, 61466176, 364568617, 2179768320, 13065520825, 78371693632, 470196375201, 2821126684672, 16926683582305, 101559990680640, 609359787056377 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (13,-63,161,-245,231,-133,43,-6). FORMULA G.f.: (1-6*x+72*x^2-75*x^3-1475*x^4-1776*x^5-334*x^6-7*x^7)/((1-x)^7*(1-6*x)). - Vincenzo Librandi, Aug 28 2014 MAPLE seq(seq(k^n+n^k, k=6..6), n=0..19); # Zerinvary Lajos, Jun 29 2007 MATHEMATICA Table[6^n + n^6, {n, 0, 30}] (* or *) CoefficientList[Series[(1 - 6 x + 72 x^2 - 75 x^3 - 1475 x^4 - 1776 x^5 - 334 x^6 - 7 x^7)/((1-x)^7 (1-6 x)), {x, 0, 30}], x] (* Vincenzo Librandi, Aug 28 2014 *) PROG (PARI) a(n)=6^n+n^6 \\ Charles R Greathouse IV, Feb 14 2011 (MAGMA) [6^n+n^6: n in [0..30]]; // Vincenzo Librandi, Oct 27 2011 (Sage) [6^n+n^6 for n in (0..30)] # Bruno Berselli, Aug 28 2014 CROSSREFS Cf. sequences of the form k^n+n^k: A001580 (k=2), A001585 (k=3), A001589 (k=4), A001593 (k=5), this sequence (k=6), A001596 (k=7), A198401 (k=8), A185277 (k=9), A177068 (k=10), A177069 (k=11). Sequence in context: A115066 A272957 A123616 * A052752 A182529 A165878 Adjacent sequences:  A001591 A001592 A001593 * A001595 A001596 A001597 KEYWORD nonn,easy AUTHOR 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.