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A027805 21*(n+1)*C(n+4,9). 0
126, 1470, 9240, 41580, 150150, 462462, 1261260, 3123120, 7147140, 15315300, 31039008, 59961720, 111105540, 198470580, 343219800, 576609264, 943854450, 1509157650, 2362159800, 3626122500, 5468192730 (list; graph; refs; listen; history; internal format)
OFFSET

5,1

COMMENTS

Number of 14-subsequences of [ 1, n ] with just 4 contiguous pairs.

LINKS

Index to sequences with linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

FORMULA

G.f. 42*(3+2x)/(1-x)^11

C(n+6, 6)*C(n+9, 4) - Zerinvary Lajos (zlaja(AT)freemail.hu), May 25 2005

MATHEMATICA

Table[21(n+1)Binomial[n+4, 9], {n, 5, 30}] (* From Harvey P. Dale, Sep 19 2011 *)

PROG

(PARI) a(n)=21*(n+1)*binomial(n+4, 9) \\ Charles R Greathouse IV, Sep 19 2011

CROSSREFS

Sequence in context: A172139 A194717 A002953 * A027814 A109146 A189345

Adjacent sequences:  A027802 A027803 A027804 * A027806 A027807 A027808

KEYWORD

nonn,easy

AUTHOR

thi ngoc dinh (via rkg(AT)cpsc.ucalgary.ca)

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Last modified February 16 17:48 EST 2012. Contains 205939 sequences.