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 A255831 #15 May 08 2024 14:27:18 %S A255831 1,1,1,1,5,1,1,9,28,1,1,13,109,153,1,1,17,244,1617,3751,1,1,21,433, %T A255831 5929,52501,175760,1,1,25,676,14625,258751,3261249,6835648,1,1,29,973, %U A255831 29241,810001,19763200,148756357,1051779953,1,1,33,1324,51313,1968751,73559825,1086478912,23937893793,364668913756,1 %N A255831 Square array A(m,n) = Resultant(X^m+n,(X+1)^m+n), read by (falling) antidiagonals, m >= 1, n >= 0. %C A255831 This polynomial resultant gives the period for solutions to the equations A255852 - A255869. For example, A010034(n) = A255859(17) + A(17,9)*(n-1). In general, there may be more than one starting solutions (cf. A118119). %e A255831 The square array starts at its upper left as follows: %e A255831 [ 1 1 1 1 1 1 1 ... ] %e A255831 [ 1 5 9 13 17 21 25 ... ] %e A255831 [ 1 28 109 244 433 676 973 ... ] %e A255831 [ 1 153 1617 5929 14625 29241 51313 ... ] %e A255831 [ 1 3751 52501 258751 810001 1968751 4072501 ... ] %e A255831 [ 1 175760 3261249 19763200 73559825 207499536 488999665 ... ] %e A255831 [ : : : : : : : ·. ] %e A255831 [ : : : : : : : ·.] %o A255831 (PARI) A255831(m,n)=polresultant('x^m+n,('x+1)^m+n) %o A255831 (Python) %o A255831 from sympy import resultant %o A255831 from sympy.abc import x %o A255831 def A255831_T(m,n): return resultant(x**m+n,(x+1)**m+n) # _Chai Wah Wu_, May 08 2024 %K A255831 nonn,tabl %O A255831 0,5 %A A255831 _M. F. Hasler_, Mar 17 2015 %E A255831 Edited by _Max Alekseyev_, Aug 07 2015