

A216865


16k^232k+8 interleaved with 16k^216k+8 for k>=0.


1



8, 8, 8, 8, 8, 40, 56, 104, 136, 200, 248, 328, 392, 488, 568, 680, 776, 904, 1016, 1160, 1288, 1448, 1592, 1768, 1928, 2120, 2296, 2504, 2696, 2920, 3128, 3368, 3592, 3848, 4088, 4360, 4616, 4904, 5176, 5480, 5768, 6088, 6392, 6728, 7048, 7400, 7736
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OFFSET

0,1


COMMENTS

The sequence (the first in the family) is present as a family of single interleaved sequence of which are separated or factored out of the larger sequence to give individual sequences. The larger sequence produces four smaller interleaved sequences where one of them has the formula above and a second interleaved sequences having the formulas (16n^224n+1) and (16n^26n+5). This interleaved sequence is A214393. The fourth interleaved sequence in the group has the formulas (16n^28n7) and (16n^2+2n+5) and it is A214405. There are a total of four sequences in this family.


LINKS



FORMULA

G.f.: 8*(1x3*x^2+5*x^3)/((1+x)*(1x)^3). [Bruno Berselli, Sep 30 2012]


MATHEMATICA

Flatten[Table[{16 n^2  32 n + 8, 16 n^2  16 n + 8}, {n, 0, 23}]] (* Bruno Berselli, Sep 30 2012 *)


PROG

(Magma) &cat[[16*k^232*k+8, 16*k^216*k+8]: k in [0..23]]; // Bruno Berselli, Oct 01 2012
(PARI) vector(47, n, k=(n1)\2; if(n%2, 16*k^232*k+8, 16*k^216*k+8)) \\ Bruno Berselli, Oct 01 2012


CROSSREFS



KEYWORD

sign,easy


AUTHOR



EXTENSIONS



STATUS

approved



