|
| |
|
|
A064061
|
|
Eighth column of Catalan triangle A009766.
|
|
3
| |
|
|
429, 1430, 3432, 7072, 13260, 23256, 38760, 62016, 95931, 144210, 211508, 303600, 427570, 592020, 807300, 1085760, 1442025, 1893294, 2459664, 3164480, 4034712, 5101360, 6399888, 7970688, 9859575, 12118314, 14805180, 17985552, 21732542, 26127660, 31261516
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,1
|
|
|
LINKS
| R. K. Guy, Catwalks, Sandsteps and Pascal Pyramids, J. Integer Seqs., Vol. 3 (2000), #00.1.6
|
|
|
FORMULA
| a(n)= A009766(n+7, 7)= (n+1)*binomial(n+14, 6)/7.
G.f.: (429-2002*x+4004*x^2-4368*x^3+2730* x^4-924*x^5+132*x^6)/(1-x)^8; numerator polynomial is N(2;6, x) from A062991.
a(n)=C(n,7)-C(n,5),n>=13 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 25 2006
|
|
|
MAPLE
| [seq(binomial(n, 7)-binomial(n, 5), n=13..37)]; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 25 2006
|
|
|
MATHEMATICA
| CoefficientList[Series[(132*z^6 - 924*z^5 + 2730*z^4 - 4368*z^3 + 4004*z^2 - 2002*z + 429)/(z - 1)^8, {z, 0, 100}], z] (* From Vladimir Joseph Stephan Orlovsky, Jul 16 2011 *)
|
|
|
CROSSREFS
| A064059 (seventh column).
Sequence in context: A203612 A034278 A116870 * A115133 A090200 A033279
Adjacent sequences: A064058 A064059 A064060 * A064062 A064063 A064064
|
|
|
KEYWORD
| nonn,easy
|
|
|
AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Sep 13 2001
|
| |
|
|
