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COMMENT
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seq(a[3*n+2]/14,n=0..9) = 1, 15, 487, 12507, 342811, 9214935, 249130927, 6723913587, 181566638371, 4902131463855
seq(a[3*n+1]/98,n=0..9) =0, 1, 21, 613, 16185, 439921, 11854461, 320257693, 8645459745, 233439396841
seq(a[2*n+1]/6,n=0..14) =0, 3, 35, 343, 3195, 29183, 264355, 2386023, 21501515, 193622863, 1743042675, 15689131703, 141209175835, 1270910544543, 11438306748995
seq(a[6*n+1]/294,n=0..4) =0, 7, 5395, 3951487, 2881819915
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