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.

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A365448 Array read by antidiagonals: row 1 is the semiprimes A001358; for m > 1, row m is the semiprimes that are the sum of two successive terms of row m-1.

Original entry on oeis.org

4, 6, 10, 9, 15, 25, 10, 51, 146, 422, 14, 69, 201, 551, 973, 15, 77, 221, 667, 1858, 2831, 21, 85, 249, 1191, 89855, 312493, 127418369, 22, 95, 302, 1343, 110099, 2676567, 154171217
Offset: 1

Views

Author

Zak Seidov and Robert Israel, Oct 03 2023

Keywords

Examples

			The first 7 rows are
4, 6, 9, 10, 14, 15, 21, 22, 25, 26, ...
10, 15, 51, 69, 77, 85, 95, 106, 115, 134, ...
25, 146, 201, 221, 249, 302, 365, 529, 662, 681, ...
422, 551, 667, 1191, 1343, 2661, 6621, 11207, 13637, 14183, ...
973, 1858, 89855, 110099, 202394, 332377, 352147, 383507, 469231, 528923, ...
2831, 312493, 2676567, 3754285, 4027807, 9438362, 10568289, 20372991, 20590454, 21591014, ...
127418369, 154171217, 213938227, 242408953, 296917233, 325907227, 345235903, 367725381, ...
T(4,3) = 667 is a term because 667 = 23 * 29 is a semiprime and 667 = 392 + 365 where 302 = T(3,6) and 365 = T(3,7).
		

Crossrefs

Cf. A001358 (first row), A092192 (second row), A366167 (third row).

Programs

  • Maple
    R[1]:= select(t -> numtheory:-bigomega(t) = 2, [$1..5*10^6]): M[1]:= nops(R[1]):
    for i from 2 do
      R[i]:= select(t -> numtheory:-bigomega(t) = 2, R[i-1][1..M[i-1]-1] + R[i-1][2..M[i-1]]);
      M[i]:= nops(R[i]);
      if M[i] = 0 then break fi
    od:
    L:= NULL:
    for k from 2 to 8 do
      L:= L, seq(R[i][k-i],i=1..k-1)
    od:
    L;
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