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A213549 Principal diagonal of the convolution array A213548. 3
1, 12, 53, 155, 360, 721, 1302, 2178, 3435, 5170, 7491, 10517, 14378, 19215, 25180, 32436, 41157, 51528, 63745, 78015, 94556, 113597, 135378, 160150, 188175, 219726, 255087, 294553, 338430, 387035, 440696, 499752, 564553, 635460 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Clark Kimberling, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

FORMULA

G.f.: x*(1 + 7*x  + 3*x^2)/(1 - x)^5.

a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5).

a(n) = (11*n^4 + 14*n^3 + n^2 - 2*n)/24 = n*(n+1)*(11*n^2 + 3*n - 2)/24.

a(n) = Sum_{i=1..n} (n-i+1)*A000217(n+i-1), see A213548. - Bruno Berselli, Oct 05 2016

MATHEMATICA

(See A213548.)

CROSSREFS

Cf. A000217, A213500, A213548.

Sequence in context: A280660 A268186 A253130 * A211060 A242514 A030182

Adjacent sequences:  A213546 A213547 A213548 * A213550 A213551 A213552

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jun 16 2012

STATUS

approved

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Last modified September 28 19:58 EDT 2021. Contains 347717 sequences. (Running on oeis4.)