

A193868


Even central polygonal numbers.


4



2, 4, 16, 22, 46, 56, 92, 106, 154, 172, 232, 254, 326, 352, 436, 466, 562, 596, 704, 742, 862, 904, 1036, 1082, 1226, 1276, 1432, 1486, 1654, 1712, 1892, 1954, 2146, 2212, 2416, 2486, 2702, 2776, 3004, 3082, 3322, 3404, 3656, 3742, 4006, 4096, 4372
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OFFSET

1,1


COMMENTS

Odd triangular numbers plus 1.


LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..10000
Index to sequences with linear recurrences with constant coefficients, signature (1,2,2,1,1)


FORMULA

a(n) = A000124(A042963(n1)).
a(n) = 1 + A014493(n).
a(n) = 2*A174114(n).
G.f. 2*x*(1+x+4*x^2+x^3+x^4) / ( (1+x)^2*(x1)^3 ).  R. J. Mathar, Aug 25 2011


PROG

(MAGMA) [1+((2*n1)*(2*n1(1)^n)/2): n in [1..50]]; // Vincenzo Librandi, Aug 18 2011


CROSSREFS

Cf. A000124, A193867.
Sequence in context: A242205 A192150 A049441 * A059622 A131475 A239363
Adjacent sequences: A193865 A193866 A193867 * A193869 A193870 A193871


KEYWORD

nonn,easy


AUTHOR

Omar E. Pol, Aug 15 2011


STATUS

approved



