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A115152 Fifth diagonal (M=5) sequence of triangle A113647, called Y(2,1). +0
1
1, 63, 705, 6207, 50113, 389183, 2965441, 22380607, 168132545, 1260716095, 9450356673, 70882689087, 532259536833, 4002476458047, 30145737916353, 227429364793407, 1718693633458113, 13009919057854527, 98641252341252033 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n)= A113647(n+4, n+1), n>=0.

G.f.: ((-2 + 12*x - 8*x^2 + x^4) + 2*(1-8*x+12*x^2)*c(2*x))/((x^4)*(1+x)), with the o.g.f. c(x):=(1-sqrt(1-4*x))/(2*x) of A000108 (Catalan numbers).

CROSSREFS

Sequence in context: A022522 A090028 A086578 this_sequence A069091 A123866 A024004

Adjacent sequences: A115149 A115150 A115151 this_sequence A115153 A115154 A115155

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Jan 13 2006

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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