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.

A253609 Array read by upwards antidiagonals: A(n, k) = index of prime(k)^n in A098550.

This page as a plain text file.
%I A253609 #13 Jan 27 2025 22:52:02
%S A253609 2,4,3,6,5,9,14,19,11,15,29,57,94,40,22,65,171,483,269,124,23,137,549,
%T A253609 2549,1996,1071,187,30,277,1786,13468,14547,12661,1810,273,43,546,
%U A253609 5563,69298,105091,144229,24916,4142,313,51,1109,17088,353423,750571,1624729,335764,74341,5856,505,61
%N A253609 Array read by upwards antidiagonals: A(n, k) = index of prime(k)^n in A098550.
%C A253609 Entry A(n, k), in row n and column k, is the index of the entry in A098550 such that A098550(A(n, k)) = prime(k)^n.
%C A253609 Conjecture: For all natural numbers i, j, k, prime(k)^i precedes prime(k)^(i+1) and prime(k)^j precedes prime(k+1)^j in A098550.
%e A253609 Array begins:
%e A253609    2,    3,     9,     15,       22,       23,        30,        43, ...
%e A253609    4,    5,    11,     40,      124,      187,       273,       313, ...
%e A253609    6,   19,    94,    269,     1071,     1810,      4142,      5856, ...
%e A253609   14,   57,   483,   1996,    12661,    24916,     74341,    116524, ...
%e A253609   29,  171,  2549,  14547,   144229,   335764,   1300310,   2276597, ...
%e A253609   65,  549, 13468, 105091,  1624729,  4458533,  22501985,  43999361, ...
%e A253609  137, 1786, 69298, 750571, 18146462, 58762243, 387122632, 845496081, ...
%Y A253609 Cf. A098550, A251239 (row 1), A251240 (row 2), A251393 (column 1).
%Y A253609 Cf. A251241 = {1} union {this array}.
%K A253609 nonn,tabl
%O A253609 1,1
%A A253609 _L. Edson Jeffery_, Jan 05 2015
%E A253609 More terms from _Jinyuan Wang_, Jan 26 2025