

A167614


(n^2 + 3*n + 8)/2.


3



6, 9, 13, 18, 24, 31, 39, 48, 58, 69, 81, 94, 108, 123, 139, 156, 174, 193, 213, 234, 256, 279, 303, 328, 354, 381, 409, 438, 468, 499, 531, 564, 598, 633, 669, 706, 744, 783, 823, 864, 906, 949, 993, 1038, 1084, 1131, 1179, 1228, 1278, 1329, 1381, 1434, 1488
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OFFSET

1,1


COMMENTS

A228446(a(n)) = 7.  Reinhard Zumkeller, Mar 12 2014


LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Index entries for linear recurrences with constant coefficients, signature (3,3,1).


FORMULA

a(n) = n + a(n1) + 1, with n>1, a(1)=6.
G.f:: x*(69*x+4*x^2)/(1x)^3.  Vincenzo Librandi, Sep 16 2013


MATHEMATICA

Table[(n(n+3))/2+4, {n, 80}] (* Harvey P. Dale, Mar 24 2011 *)
CoefficientList[Series[(6  9 x + 4 x^2)/(1  x)^3, {x, 0, 60}], x] (* Vincenzo Librandi, Sep 16 2013 *)


PROG

(PARI) a(n)=n*(n+3)/2+4 \\ Charles R Greathouse IV, Jan 11 2012
(MAGMA) [(n^2+3*n+8)/2: n in [1..60]]; // Vincenzo Librandi, Sep 16 2013


CROSSREFS

Sequence in context: A315963 A315964 A315965 * A020751 A315966 A315967
Adjacent sequences: A167611 A167612 A167613 * A167615 A167616 A167617


KEYWORD

nonn,easy


AUTHOR

Vincenzo Librandi, Nov 07 2009


EXTENSIONS

Corrected (changed one term from 1036 to 1038) by Harvey P. Dale, Mar 24 2011.
New name from Charles R Greathouse IV, Jan 11 2012


STATUS

approved



