

A255261


a(n) = a(n1) + sum of the hexagonal numbers which are among the first (n1) terms of the sequence, with a(1)=1.


3



1, 2, 3, 4, 5, 6, 13, 20, 27, 34, 41, 48, 55, 62, 69, 76, 83, 90, 97, 104, 111, 118, 125, 132, 139, 146, 153, 313, 473, 633, 793, 953, 1113, 1273, 1433, 1593, 1753, 1913, 2073, 2233, 2393, 2553, 2713, 2873, 3033, 3193, 3353, 3513, 3673, 3833, 3993, 4153
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OFFSET

1,2


LINKS

Colin Barker, Table of n, a(n) for n = 1..1000


EXAMPLE

a(8) = 20 because a(7) = 13, hexagonal numbers already in the sequence are 1 and 6, and 13+1+6 = 20.


PROG

(PARI) vector(100, n, if(n==1, a_n_1=sum_=1, a_n_1+=sum_; if(ispolygonal(a_n_1, 6), sum_+=a_n_1)); a_n_1)


CROSSREFS

Cf. A100963, A101135, A255260.
Sequence in context: A057224 A153695 A300857 * A181303 A276529 A200330
Adjacent sequences: A255258 A255259 A255260 * A255262 A255263 A255264


KEYWORD

nonn


AUTHOR

Colin Barker, Feb 20 2015


STATUS

approved



