### a(n,k) tabf head (staircase) for A103728 n\k 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 1 -3 5 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 -5 13 -17 13 -5 1 0 0 0 0 0 0 0 0 0 0 0 0 5 1 -9 41 -109 191 -229 191 -109 41 -9 1 0 0 0 0 0 0 0 0 6 1 -11 61 -203 457 -731 853 -731 457 -203 61 -11 1 0 0 0 0 0 0 7 1 -15 113 -527 1713 -4111 7537 -10767 12113 -10767 7537 -4111 1713 -527 113 -15 1 0 0 8 1 -17 145 -773 2899 -8117 17587 -30149 41455 -46061 41455 -30149 17587 -8117 2899 -773 145 -17 1 . . . This tabf array with row length sequence A000040(n), [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47,...], the n-th prime number, has symmetric rows. Therefore, it suffices to give only the terms for k=0..(p(n)-1)/2). This first part of rows n=9..15 are: n=9: [1, -21, 221, -1473, 6997, -25189, 71369, -163129, 305867, -475793, 618531, -674761, ...] n=10: [1, -27, 365, -3163, 19769, -94891, 363749, -1143211, 3000929, -6668731, 12670589, -20733691, 29372729, -36151051, 38733269,...] n=11: [1, -29, 421, -3929, 26521, -137909, 574621, -1970129, 5664121, -13845629, 29075821, -52865129, 83703121, -115896629, 140731621, -150113729,...] n=12: [1, -35, 613, -6947, 57313, -366803, 1895149, -8122067, 29442493, -91598867, 247316941, -584567315, 1217848573, -2248335827, 3693694573, -5417418707, 7110362053, -8365131827, 8829861373,...] n=13: [1, -39, 761, -9639, 89161, -641959, 3744761, -18188839, 75028961, -266769639, 826985881, -2255416039, 5450588761, -11739729639, 22640907161, -39244239079, 61319123561, -86568174439, 110614889561, -128080398439, 134484418361,...] n=14: [1, -41, 841, -11213, 109327, -830885, 5123791, -26350925, 115285297, -435522233, 1437223369, -4181013437, 10800951379, -24925272413, 51630921427, -96377719997, 162637402495, -248739556757, 345471606607, -436385187293, 501842965387, -525740249453,...] n=15: [1, -45, 1013, -14857, 159713, -1341589, 9167525, -52385857, 255381053, -1078275557, 3989619561, -13056936745, 38082732173, -99600991837, 234773766473, -500850701809, 970398234755, -1712467473097, 2758975373323, -4065858444897, 5488908900611, -6795791972185, 7722490877483, -8058251350417,...] ____________________________________________________________________________________________________________________________________________