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Search: a192248 -id:a192248
Displaying 1-2 of 2 results found.
page 1
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A192069
(A192249)/5.
+10
2
0, 1, 4, 18, 60, 186, 522, 1380, 3459, 8321, 19332, 43629, 96045, 206953, 437677, 910549, 1866952, 3778561, 7558953, 14963504, 29340482, 57033862, 109989752, 210575822, 400452782, 756836537, 1422191570, 2658250044, 4943946756, 9152396892
(list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
See A192232, A192249.
LINKS
Table of n, a(n) for n=1..30.
FORMULA
Conjecture: G.f.: x^2*(1-2*x+4*x^2-3*x^3+x^4) / ( (x-1)*(x^2+x-1)^5 ). - R. J. Mathar, May 04 2014
MATHEMATICA
(See A192248.)
CROSSREFS
Cf. A192232, A192248, A192249.
KEYWORD
nonn
AUTHOR
Clark Kimberling, Jun 27 2011
STATUS
approved
A192249
1-sequence of reduction of binomial coefficient sequence B(n,4)=A000332 by x^2 -> x+1.
+10
2
0, 5, 20, 90, 300, 930, 2610, 6900, 17295, 41605, 96660, 218145, 480225, 1034765, 2188385, 4552745, 9334760, 18892805, 37794765, 74817520, 146702410, 285169310, 549948760, 1052879110, 2002263910, 3784182685, 7110957850, 13291250220
(list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
See A192232 for definition of "k-sequence of reduction of [sequence] by [substitution]".
LINKS
Table of n, a(n) for n=1..28.
FORMULA
a(n) = 5*A192069(n).
Conjecture: G.f.: 5*x^2*(1-2*x+4*x^2-3*x^3+x^4) / ( (x-1)*(x^2+x-1)^5 ). - R. J. Mathar, May 04 2014
MATHEMATICA
(See A192248.)
CROSSREFS
Cf. A192232, A192248, A192069.
KEYWORD
nonn
AUTHOR
Clark Kimberling, Jun 27 2011
STATUS
approved
page 1

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