Number of semi-magic 3-dimensional hypercubes with 27 entries and magic sum n.

Terms

a(0) =1a(1) =12a(2) =132a(3) =847a(4) =3921a(5) =14286a(6) =43687a(7) =116757a(8) =280656a(9) =619219a(10) =1273125a(11) =2467302a(12) =4547458a(13) =8027223a(14) =13648170a(15) =22454470a(16) =35884827a(17) =55883718a(18) =85034962a(19) =126719913a(20) =185303679a(21) =266351932a(22) =376882089a(23) =525651699a(24) =723488194a(25) =983663109a(26) =1322315307