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A101165 a(n) = (7*n^3 + 6*n^2 + 5*n) / 6. 4
0, 3, 15, 43, 94, 175, 293, 455, 668, 939, 1275, 1683, 2170, 2743, 3409, 4175, 5048, 6035, 7143, 8379, 9750, 11263, 12925, 14743, 16724, 18875, 21203, 23715, 26418, 29319, 32425, 35743, 39280, 43043, 47039, 51275, 55758, 60495, 65493, 70759 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

a(n) = A001845(n) - A000292(n+1) = A101164(n+3,3) for n>0.

LINKS

Table of n, a(n) for n=0..39.

FORMULA

From Chai Wah Wu, May 29 2016: (Start)

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4).

G.f.: x*(x^2 + 3*x + 3)/(x - 1)^4.

(End)

PROG

(MAGMA)[(7*n^3 + 6*n^2 + 5*n) / 6: n in [0..40]]; // Vincenzo Librandi, Dec 26 2010

CROSSREFS

Cf. A005449, A101166.

Sequence in context: A316642 A146805 A147057 * A127407 A196237 A177146

Adjacent sequences:  A101162 A101163 A101164 * A101166 A101167 A101168

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Dec 03 2004

STATUS

approved

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Last modified March 18 17:51 EDT 2019. Contains 321292 sequences. (Running on oeis4.)