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.
%I A359844 #16 Jan 23 2025 03:36:44 %S A359844 1,3281,195313,2882401,21523361,107179441,407865361,1281445313, %T A359844 3487878721,8491781521,18911429681,39155492641,76293945313, %U A359844 141214768241,250123206481,426445518721,703204309121,1125937695313,1756239726961,2676004630241,3992462614561,5844100138801 %N A359844 a(n) = ((2*n+1)^8 + 1)/2. %H A359844 Jianing Song, <a href="/A359844/b359844.txt">Table of n, a(n) for n = 0..10000</a> %H A359844 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (9,-36,84,-126,126,-84,36,-9,1). %F A359844 a(n) = A359499(n)/A359498(n) = 16 * A359498(n) + 1. %t A359844 ((2*Range[0, 25] + 1)^8 + 1)/2 (* _Paolo Xausa_, Jan 23 2025 *) %o A359844 (PARI) a(n) = ((2*n+1)^8 + 1)/2 %o A359844 (Python) %o A359844 def A359844(n): return ((n<<1)+1)**8+1>>1 # _Chai Wah Wu_, Jan 15 2023 %Y A359844 Cf. {((2*n+1)^k + 1)/2}: A000012 (k=0), A001477 (k=1), A219086 (k=2), A050492 (k=3), A175110 (k=4), A175113 (k=6), this sequence (k=8). %K A359844 nonn,easy %O A359844 0,2 %A A359844 _Jianing Song_, Jan 15 2023