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A097300 Tenth column (m=9) of (1,6)-Pascal triangle A096956. 2
6, 55, 280, 1045, 3190, 8437, 20020, 43615, 88660, 170170, 311168, 545870, 923780, 1514870, 2416040, 3759074, 5720330, 8532425, 12498200, 18007275, 25555530, 35767875, 49424700, 67492425, 91158600, 121872036, 161388480, 211822380 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..27.

FORMULA

a(n)= A096956(n+9, 9) = 6*b(n) - 5*b(n-1) = (n+54)*binomial(n+8, 8)/9, with b(n):=A000582(n+9)=binomial(n+9, 9).

G.f.: (6-5*x)/(1-x)^10.

CROSSREFS

Cf. A097299 (ninth column).

Sequence in context: A066514 A281075 A009577 * A295094 A295548 A198855

Adjacent sequences:  A097297 A097298 A097299 * A097301 A097302 A097303

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Aug 13 2004

STATUS

approved

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Last modified September 28 04:24 EDT 2021. Contains 347698 sequences. (Running on oeis4.)