cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A359499 a(n) = ((2*n+1)^16 - 1)/64.

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%I A359499 #22 Oct 04 2024 10:04:20
%S A359499 0,672605,2384185791,519264540150,28953440450810,717964529118315,
%T A359499 10397134518487185,102631380558013916,760331123057294820,
%U A359499 4506897086994080745,22352635785031020755,95822037745015603890,363797880709171295166,1246350673076132966615,3910101151255427324805
%N A359499 a(n) = ((2*n+1)^16 - 1)/64.
%C A359499 a(n) and A000217(n) have the same parity.
%H A359499 Jianing Song, <a href="/A359499/b359499.txt">Table of n, a(n) for n = 0..10000</a>
%H A359499 <a href="/index/Rec#order_17">Index entries for linear recurrences with constant coefficients</a>, signature (17,-136,680,-2380,6188,-12376,19448,-24310,24310,-19448,12376,-6188,2380,-680,136,-17,1).
%F A359499 a(n) = A000217(n) * A219086(n) * A175110(n) * A359844(n) = A219086(n) * A175110(n) * A359844(n) = A359498(n) * A359499(n).
%t A359499 Table[((2*n + 1)^16 - 1)/64, {n, 0, 15}] (* _Paolo Xausa_, Oct 04 2024 *)
%o A359499 (PARI) a(n) = ((2*n+1)^16 - 1)/64
%o A359499 (Python)
%o A359499 def A359499(n): return ((n<<1)+1)**16-1>>6 # _Chai Wah Wu_, Jan 15 2023
%Y A359499 Cf. {((2*n+1)^2^k - 1)/2^(k+2)}: A000217 (k=1), A219086 (k=2), A359498 (k=3), this sequence (k=4).
%K A359499 nonn,easy
%O A359499 0,2
%A A359499 _Jianing Song_, Jan 03 2023