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A112356 Following triangle is based on Pascal's triangle. The r-th term of the n-th row is product of C(n,r) successive integers such that the product of all the terms of the row is (2^n)!. Sequence contains the triangle read by rows. 5
1, 1, 2, 1, 6, 4, 1, 24, 210, 8, 1, 120, 332640, 32760, 16, 1, 720, 29059430400, 19275223968000, 20389320, 32, 1, 5040, 223016017416192000, 1250004633476421848894668800000, 28844656968251942737920000, 48920775120, 64 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
The leading diagonal contains 2^n. The second column terms are (n+1)!.
LINKS
EXAMPLE
Triangle begins:
1
1 2
1 6 4
1 24 210 8
1 120 332640 32760 16
...
The row for n = 3 is
1 3 3 1
1 (2*3*4) (5*6*7) 8 or (1 24 210 8)
PROG
(PARI) A112356(n)= { local(resul, piv, a); resul=[1]; piv=2; for(col=1, n, a=piv; piv++; for(c=2, binomial(n, col), a *= piv; piv++; ); resul=concat(resul, a); ); return(resul); }
{ for(row=0, 7, print(A112356(row)); ); } \\ R. J. Mathar, May 19 2006
CROSSREFS
Cf. A112357.
Sequence in context: A078937 A167560 A132159 * A135885 A162312 A141715
KEYWORD
easy,nonn,tabl
AUTHOR
Amarnath Murthy, Sep 05 2005
EXTENSIONS
More terms from Mandy Stoner (astoner(AT)ashland.edu), Apr 27 2006
STATUS
approved

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Last modified March 29 06:34 EDT 2024. Contains 371265 sequences. (Running on oeis4.)