Number of 4d partitions <=45

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This page will have results from the depth 10 run to determine the number of four-dimensional partitions for all positive integers $<=45.$

Results

This is sequence A000334 in the OEIS. Here are the results obtained on Mon Aug 8 04:24:44 IST 2011 using v2.0 of the 4d code. This adds five numbers that will be eventually contributed to the OEIS.

c[N] = no. of 4d partitions of N
c[1] = 1
c[2] = 5
c[3] = 15
c[4] = 45
c[5] = 120
c[6] = 326
c[7] = 835
c[8] = 2145
c[9] = 5345
c[10] = 13220
c[11] = 32068
c[12] = 76965
c[13] = 181975
c[14] = 425490
c[15] = 982615
c[16] = 2245444
c[17] = 5077090
c[18] = 11371250
c[19] = 25235790
c[20] = 55536870
c[21] = 121250185
c[22] = 262769080
c[23] = 565502405
c[24] = 1209096875
c[25] = 2569270050
c[26] = 5427963902
c[27] = 11404408525
c[28] = 23836421895
c[29] = 49573316740
c[30] = 102610460240
c[31] = 211425606778
c[32] = 433734343316
c[33] = 886051842960
c[34] = 1802710594415
c[35] = 3653256942840
c[36] = 7375178344373
c[37] = 14833679265311
c[38] = 29727028383070
c[39] = 59363454021280
c[40] = 118137556912895
c[41] = 234310483718511
c[42] = 463193286245475
c[43] = 912703865994165
c[44] = 1792766221191810
c[45] = 3510520778098410

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