A144640 Row sums from A144562.

3, 17, 48, 102, 185, 303, 462, 668, 927, 1245, 1628, 2082, 2613, 3227, 3930, 4728, 5627, 6633, 7752, 8990, 10353, 11847, 13478, 15252, 17175, 19253, 21492, 23898, 26477, 29235, 32178, 35312, 38643, 42177, 45920, 49878, 54057, 58463, 63102, 67980, 73103

Offset: 1

Author

Vincenzo Librandi, Jan 21 2009, Jun 29 2009

Keywords

• nonn
• easy

Comments

Row 2 of the convolution array A213833. - Clark Kimberling, Jul 04 2012

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..10000
• Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

Crossrefs

Cf. A144562, A213833.

Programs

Magma

I:=[3, 17, 48, 102]; [n le 4 select I[n] else 4*Self(n-1) -6*Self(n-2) +4*Self(n-3) -Self(n-4): n in [1..50]]; // Vincenzo Librandi, Jul 06 2012

Maple

A144640:= n-> n*(2*n^2 +5*n -1)/2; seq(A144640(n), n=1..40); # G. C. Greubel, Mar 01 2021

Mathematica

CoefficientList[Series[(3+5*x-2*x^2)/(1-x)^4,{x,0,40}],x] (* Vincenzo Librandi, Jul 06 2012 *)

Sage

[n*(2*n^2 +5*n -1)/2 for n in (1..40)] # G. C. Greubel, Mar 01 2021

Formula

a(n) = n*(2*n^2 + 5*n - 1)/2. - Jon E. Schoenfield, Jun 24 2010

G.f.: x*(3+5*x-2*x^2)/(1-x)^4. - Vincenzo Librandi, Jul 06 2012

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4). - Vincenzo Librandi, Jul 06 2012

E.g.f.: x*(6 + 11*x + 2*x^2)*exp(x)/2. - G. C. Greubel, Mar 01 2021