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.

A250002 Triangle read by rows: T(n,k) = number of inequivalent binary linear [n,k] codes minus C(n,k).

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%I A250002 #14 Nov 28 2014 22:24:26
%S A250002 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,2,8,8,2,
%T A250002 0,0,0,0,4,21,36,21,4,0,0,0,0,7,47,114,114,47,7,0,0,0,0,11,93,306,453,
%U A250002 306,93,11,0,0,0,0,16,168,730,1526,1526,730,168,16,0,0
%N A250002 Triangle read by rows: T(n,k) = number of inequivalent binary linear [n,k] codes minus C(n,k).
%C A250002 The triangle of inequivalent binary linear [n,k] codes (A076831) looks much like Pascal's triangle (A007318). They start to differ in the middle of row 6. This triangle is the difference between them. Its row sums are A250003 - the difference between the numbers of inequivalent binary linear codes of length n (A076766) and the powers of two (A000079).
%F A250002 a(n,k) = A076831(n,k) - A007318(n,k).
%e A250002       k   0   1   2   3   4    5    6   7   8   9  10  11      sums
%e A250002    n
%e A250002    0      0                                                       0
%e A250002    1      0   0                                                   0
%e A250002    2      0   0   0                                               0
%e A250002    3      0   0   0   0                                           0
%e A250002    4      0   0   0   0   0                                       0
%e A250002    5      0   0   0   0   0    0                                  0
%e A250002    6      0   0   1   2   1    0    0                             4
%e A250002    7      0   0   2   8   8    2    0   0                        20
%e A250002    8      0   0   4  21  36   21    4   0   0                    86
%e A250002    9      0   0   7  47 114  114   47   7   0   0               336
%e A250002   10      0   0  11  93 306  453  306  93  11   0   0          1273
%e A250002   11      0   0  16 168 730 1526 1526 730 168  16   0   0      4880
%e A250002 Row 6 of A076831 is (1,6,16,22,16,6,1) and row 6 of A007318 is (1,6,15,20,15,6,1). Row 6 of this triangle is their difference (0,0,1,2,1,0,0).
%Y A250002 Cf. A076831, A007318, A250003.
%K A250002 nonn,tabl
%O A250002 0,25
%A A250002 _Tilman Piesk_, Nov 10 2014