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A123658 a(n) = 1 + n^4 + n^6 + n^9 + n^10. 1

%I #27 Sep 08 2022 08:45:28

%S 5,1617,79543,1315073,11735001,70591825,322948907,1208225793,

%T 3874742893,11001010001,28297158495,67080151297,148467846593,

%U 309923269713,615105191251,1168247947265,2134605998037,3768860634193,6453801131783,10752064160001,17474246985385

%N a(n) = 1 + n^4 + n^6 + n^9 + n^10.

%H T. D. Noe, <a href="/A123658/b123658.txt">Table of n, a(n) for n = 1..1000</a>

%H <a href="/index/Rec#order_11">Index entries for linear recurrences with constant coefficients</a>, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

%F a(n) = 1 + n^4 + n^6 + n^9 + n^10.

%F G.f.: x*(x^10 -8*x^9 +615*x^8 +33654*x^7 +381288*x^6 +1242534*x^5 +1378908*x^4 +528210*x^3 +62031*x^2 +1562*x +5)/(1-x)^11. - _Colin Barker_, May 27 2012

%e a(40) = 1+40^(A001358(1))+40^(A001358(2))+40^(A001358(3))+40^(A001358(4)) = 1+40^4+40^6+40^9+40^10 = 10747908098560001.

%t Table[1+n^4+n^6+n^9+n^10, {n,1,50}] (* _G. C. Greubel_, Oct 17 2017 *)

%o (PARI) a(n)=1+n^4+n^6+n^9+n^10 \\ _Charles R Greathouse IV_, Oct 07 2015

%o (Magma) [1+n^4+n^6+n^9+n^10: n in [0..50]]; // _G. C. Greubel_, Oct 17 2017

%Y Cf. A001358, A002523, A091940, A123177, A123656-A123659.

%K easy,nonn

%O 1,1

%A _Jonathan Vos Post_, Oct 04 2006

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Last modified April 19 10:56 EDT 2024. Contains 371791 sequences. (Running on oeis4.)