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Empirical: a(n) = a(n-1) +8*a(n-4) -8*a(n-5) -28*a(n-8) +28*a(n-9) +56*a(n-12) -56*a(n-13) -70*a(n-16) +70*a(n-17) +56*a(n-20) -56*a(n-21) -28*a(n-24) +28*a(n-25) +8*a(n-28) -8*a(n-29) -a(n-32) +a(n-33) for n>63.
Empirical for n mod 4 = 0: a(n) = (153041764352/315)*n^8 - (15010470559744/315)*n^7 + (6961612185856/3)*n^6 - (3236674053410617/45)*n^5 + (46748474263982980789/30720)*n^4 - (254905419128359866013/11520)*n^3 + (1718696267839192688635/8064)*n^2 - (2068610484101337801647/1680)*n + 3243081264128747149 for n>30.
Empirical for n mod 4 = 1: a(n) = (153041764352/315)*n^8 - (14551345266688/315)*n^7 + (99148717043456/45)*n^6 - (3032112744945337/45)*n^5 + (130257419296238992927/92160)*n^4 - (471054198709665535697/23040)*n^3 + (7040644141896011941503/35840)*n^2 - (20337258274642287345203/17920)*n + (6135450406615407750835/2048) for n>30.
Empirical for n mod 4 = 2: a(n) = (153041764352/315)*n^8 - (2253668483072/45)*n^7 + (114699616333568/45)*n^6 - (3699410997590201/45)*n^5 + (166373725910272083487/92160)*n^4 - (156762896891541573829/5760)*n^3 + (7304841953503218573653/26880)*n^2 - (781517497009749528281/480)*n + (569576081024807171947/128) for n>30.
Empirical for n mod 4 = 3: a(n) = (153041764352/315)*n^8 - (4595378814976/105)*n^7 + (17752656945920/9)*n^6 - (854801630750483/15)*n^5 + (104048190142177924127/92160)*n^4 - (118311522270222781609/7680)*n^3 + (8987239270067069299891/64512)*n^2 - (40603156976969041486523/53760)*n + (3819462220681350509763/2048) for n>30.
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