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.

A095788 Table, read by antidiagonals, of iterated binomial transforms of A095148, which also forms the antidiagonal sums shift right.

This page as a plain text file.
%I A095788 #6 Sep 01 2025 11:25:34
%S A095788 1,1,1,1,2,2,1,3,5,5,1,4,10,15,14,1,5,17,37,51,44,1,6,26,77,150,190,
%T A095788 155,1,7,37,141,371,656,766,605,1,8,50,235,798,1892,3059,3329,2584,1,
%U A095788 9,65,365,1539,4708,10154,15111,15553,11956,1,10,82,537,2726,10394,28891
%N A095788 Table, read by antidiagonals, of iterated binomial transforms of A095148, which also forms the antidiagonal sums shift right.
%e A095788 From this table of iterated binomial transforms of A095148, the antidiagonal sums form the first row (A095148) shift left:
%e A095788   1,  1,   2,    5,    14,     44,     155,      605,     2584, 11956, 59461, ...
%e A095788   1,  2,   5,   15,    51,    190,     766,     3329,    15553, 77822, ...
%e A095788   1,  3,  10,   37,   150,    656,    3059,    15111,    78840, ...
%e A095788   1,  4,  17,   77,   371,   1892,   10154,    57077,   334993, ...
%e A095788   1,  5,  26,  141,   798,   4708,   28891,   183953,  1212664, ...
%e A095788   1,  6,  37,  235,  1539,  10394,   72350,   518505,  3821409, ...
%e A095788   1,  7,  50,  365,  2726,  20840,  163091,  1306139, 10699288, ...
%e A095788   1,  8,  65,  537,  4515,  38656,  337114,  2994701, 27094705, ...
%e A095788   1,  9,  82,  757,  7086,  67292,  648539,  6344517, 63004248, ...
%e A095788   1, 10, 101, 1031, 10643, 111158, 1175006, 12573713, ...
%e A095788   ...
%Y A095788 Cf. A095148 (first row), A095789 (diagonal).
%K A095788 nonn,tabl,changed
%O A095788 0,5
%A A095788 _Paul D. Hanna_, Jun 06 2004