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EXAMPLE
| This is the binomial transform of the new sequence.
2,5,13,37,101,271,727,1931,5003,12547,30449,71761,165037,
372149,826303,1813219,3944921,8533073,18393821,39588071,
85192381,183479291,395667617,854417989,1847225579,3996807053,
8650687127,18721431499,40496966207,87538925959,189076973699,
408090258677,880275573349,1898072186453,4091892797737,
8820984877351,19015949525137,40992990314189,88355012668999,
190364989602967,409882270030033,881700809985239,
1894318010182909,4063965944848079,8704271352438569,..
The prime 7 and various larger primes are missing from the new sequence because the transform would not consist of primes. For example,
2,5,13,33
3,8 20
5,12
7
and 33 is not prime, so we must eliminate 7.
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