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A080249 Stirling-like number triangle defined by the sequence A000292=C(n+3,3). 3
1, 1, 1, 1, 5, 1, 1, 21, 15, 1, 1, 85, 171, 35, 1, 1, 341, 1795, 871, 70, 1, 1, 1365, 18291, 19215, 3321, 126, 1, 1, 5461, 184275, 402591, 135450, 10377, 210, 1, 1, 21845, 1848211, 8236095, 5143341, 716562, 28017, 330, 1, 1, 87381, 18503955, 166570111, 188253030, 45270813, 3069990, 67617, 495, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Columns include A002450, A016225. The defining sequence A000292=C(n+3,3) is the sequence of partial sums of the defining sequence for number triangle A080248.

LINKS

Table of n, a(n) for n=0..54.

FORMULA

T(n,k) = T(n-1,k-1) + A000292(k)*T(n-1,k). Columns are generated by 1/product{k=0..n, 1-C(k+3,3)*x}.

EXAMPLE

Triangle begins:

1;

1,    1;

1,    5,      1;

1,   21,     15,      1;

1,   85,    171,     35,      1;

1,  341,   1795,    871,     70,     1;

1, 1365,  18291,  19215,   3321,   126,   1;

1, 5461, 184275, 402591, 135450, 10377, 210, 1;

For example, 171 = 21+10*15, 35 = 15+20*1.

CROSSREFS

Cf. A080248, A008277.

Sequence in context: A111577 A176242 A036969 * A157154 A022168 A157212

Adjacent sequences:  A080246 A080247 A080248 * A080250 A080251 A080252

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry, Feb 17 2003

STATUS

approved

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Last modified November 21 22:16 EST 2019. Contains 329383 sequences. (Running on oeis4.)