A276587 - OEIS

%I #16 Apr 12 2017 23:25:16

%S 1,3,2,11,8,6,55,44,36,30,375,320,276,240,210,3731,3356,3036,2760,

%T 2520,2310,47743,44012,40656,37620,34860,32340,30030,777771,730028,

%U 686016,645360,607740,572880,540540,510510,14770535,13992764,13262736,12576720,11931360,11323620,10750740,10210200,9699690

%N Transpose of square array A276586.

%C Rows give the successive first differences of A136104.

%H <a href="/index/Pri#primorial_numbers">Index entries for sequences related to primorial numbers</a>

%e The top left corner of the array:

%e       1,      3,       11,        55,        375,         3731

%e       2,      8,       44,       320,       3356,        44012

%e       6,     36,      276,      3036,      40656,       686016

%e      30,    240,     2760,     37620,     645360,     12576720

%e     210,   2520,    34860,    607740,   11931360,    277008480

%e    2310,  32340,   572880,  11323620,  265077120,   7687412040

%e   30030, 540540, 10750740, 253753500, 7422334920, 235239464460

%o (Scheme) (define (A276587 n) (A276586bi (A025581 n) (A002262 n))) ;; Code for A276586bi given in A276586.

%o (PARI) P(n)=prod(i=1, n, prime(i));

%o T(n, k) = sum(j=0, n, binomial(n, j)*P(k + j));

%o for(n=0, 10, for(k=0, n, print1(T(n - k, k),", ");); print();) \\ _Indranil Ghosh_, Apr 11 2017

%Y Topmost row: A136104. For other rows and columns, see the information given in transpose A276586.

%Y Cf. also A276589.

%K nonn,tabl

%O 0,2

%A _Antti Karttunen_, Sep 18 2016