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A276587
Transpose of square array A276586.
3
1, 3, 2, 11, 8, 6, 55, 44, 36, 30, 375, 320, 276, 240, 210, 3731, 3356, 3036, 2760, 2520, 2310, 47743, 44012, 40656, 37620, 34860, 32340, 30030, 777771, 730028, 686016, 645360, 607740, 572880, 540540, 510510, 14770535, 13992764, 13262736, 12576720, 11931360, 11323620, 10750740, 10210200, 9699690
OFFSET
0,2
COMMENTS
Rows give the successive first differences of A136104.
EXAMPLE
The top left corner of the array:
1, 3, 11, 55, 375, 3731
2, 8, 44, 320, 3356, 44012
6, 36, 276, 3036, 40656, 686016
30, 240, 2760, 37620, 645360, 12576720
210, 2520, 34860, 607740, 11931360, 277008480
2310, 32340, 572880, 11323620, 265077120, 7687412040
30030, 540540, 10750740, 253753500, 7422334920, 235239464460
PROG
(Scheme) (define (A276587 n) (A276586bi (A025581 n) (A002262 n))) ;; Code for A276586bi given in A276586.
(PARI) P(n)=prod(i=1, n, prime(i));
T(n, k) = sum(j=0, n, binomial(n, j)*P(k + j));
for(n=0, 10, for(k=0, n, print1(T(n - k, k), ", "); ); print(); ) \\ Indranil Ghosh, Apr 11 2017
CROSSREFS
Topmost row: A136104. For other rows and columns, see the information given in transpose A276586.
Cf. also A276589.
Sequence in context: A163841 A276589 A275950 * A180185 A072634 A086194
KEYWORD
nonn,tabl
AUTHOR
Antti Karttunen, Sep 18 2016
STATUS
approved