This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A016823 a(n) = (4n+1)^11. 1
 1, 48828125, 31381059609, 1792160394037, 34271896307633, 350277500542221, 2384185791015625, 12200509765705829, 50542106513726817, 177917621779460413, 550329031716248441, 1532278301220703125, 3909821048582988049, 9269035929372191597, 20635899893042801193 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS T. D. Noe, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (12,-66,220,-495,792,-924,792,-495,220,-66,12,-1). FORMULA From Wesley Ivan Hurt, Oct 10 2014 : (Start) G.f.: (1 + 48828113*x + 30795122175*x^2 + 1418810334759*x^3 + 14826379326378*x^4 + 50417667664170*x^5 + 64020606756990*x^6 + 31088834650350*x^7 + 5356480404741*x^8 + 261595441397*x^9 + 1975200979*x^10 + 177147*x^11) / (x - 1)^12. Recurrence: a(n) = 12*a(n-1)-66*a(n-2)+220*a(n-3)-495*a(n-4)+792*a(n-5)-924*a(n-6)+792*a(n-7)-495*a(n-8)+220*a(n-9)-66*a(n-10)+12*a(n-11)-a(n-12). a(n) = A016813(n)^11 = A001020(A016813(n)). (End) MAPLE A016823:=n->(4*n+1)^11: seq(A016823(n), n=0..20); # Wesley Ivan Hurt, Oct 10 2014 MATHEMATICA Table[(4 n + 1)^11, {n, 0, 20}] (* Wesley Ivan Hurt, Oct 10 2014 *) CoefficientList[Series[(1 + 48828113 x + 30795122175 x^2 + 1418810334759 x^3 + 14826379326378 x^4 + 50417667664170 x^5 + 64020606756990 x^6 + 31088834650350 x^7 + 5356480404741 x^8 + 261595441397 x^9 + 1975200979 x^10 + 177147 x^11)/(x - 1)^12, {x, 0, 30}], x] (* Wesley Ivan Hurt, Oct 10 2014 *) PROG (MAGMA) [(4*n+1)^11 : n in [0..20]]; // Wesley Ivan Hurt, Oct 10 2014 CROSSREFS Cf. A001020, A016813. Sequence in context: A210334 A022259 A290501 * A016859 A016979 A017051 Adjacent sequences:  A016820 A016821 A016822 * A016824 A016825 A016826 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
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 9 13:50 EST 2019. Contains 329877 sequences. (Running on oeis4.)