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A084624 floor(C(n+5,5)/C(n+2,2)). 2
1, 2, 3, 5, 8, 12, 16, 22, 28, 36, 45, 56, 68, 81, 96, 114, 133, 154, 177, 202, 230, 260, 292, 327, 365, 406, 449, 496, 545, 598, 654, 714, 777, 843, 913, 988, 1066, 1148, 1234, 1324, 1419, 1518, 1621, 1729, 1842, 1960, 2082, 2210, 2342, 2480, 2623, 2772, 2926 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..52.

Index entries for linear recurrences with constant coefficients, signature (3,-3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-3,3,-1).

FORMULA

a(n)=floor(n^3/60+n^2/5+47n/60)+1

MATHEMATICA

LinearRecurrence[{3, -3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -3, 3, -1}, {1, 2, 3, 5, 8, 12, 16, 22, 28, 36, 45, 56, 68, 81, 96, 114, 133, 154, 177, 202, 230, 260, 292}, 53] (* Ray Chandler, Jul 17 2015 *)

Table[Floor[Binomial[n+5, 5]/Binomial[n+2, 2]], {n, 0, 60}] (* or *) Table[ Floor[ ((3+n) (4+n) (5+n))/60], {n, 0, 60}] (* Harvey P. Dale, Sep 04 2017 *)

CROSSREFS

Cf. A011865, A084625, A084631.

Sequence in context: A022487 A305377 A062489 * A238548 A004170 A247116

Adjacent sequences:  A084621 A084622 A084623 * A084625 A084626 A084627

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Jun 01 2003

STATUS

approved

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Last modified January 17 09:54 EST 2020. Contains 330949 sequences. (Running on oeis4.)