A100788 First differences of A063843.
1, 33, 758, 9896, 79317, 443353, 1904490, 6718440, 20366673, 54770809, 133699830, 301347872, 635317397, 1265529825, 2400903226, 4365984432, 7650100929, 12972006129, 21363430102, 34275416568, 53711825909
Offset: 0
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Mathematica
Differences[Table[(24n^2+50n^3+20n^4+15n^6+10n^7+n^10)/120,{n,0,30}]] (* Harvey P. Dale, Oct 20 2012 *)