A112461
Absolute value of coefficient of term [x^(n-5)] in characteristic polynomial of maximum matrix A of size n X n, where n >= 5. Maximum matrix A(i,j) is MAX(i,j), where indices i and j run from 1 to n.
Original entry on oeis.org
5, 59, 374, 1694, 6149, 19019, 52052, 129272, 296582, 636922, 1293292, 2502604, 4644094, 8306914, 14382544, 24188824, 39633715, 63428365, 99360690, 152642490, 230345115, 341940885, 499969860, 720854160, 1025884860, 1442409540, 2005251864, 2758398104
Offset: 5
- T. D. Noe and Bruno Berselli, Table of n, a(n) for n = 5..1004
- Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
-
Table[(9n+5)/10! Product[n+i,{i,-4,4}],{n,5,40}] (* Harvey P. Dale, Apr 26 2019 *)
Offset changed from 1 to 5, formulas and b-file adapted by
Bruno Berselli, Mar 29 2012
A112462
Absolute value of coefficient of term [x^(n-6)] in characteristic polynomial of maximum matrix A of size n X n, where n >= 6. Maximum matrix A(i,j) is MAX(i,j), where indices i and j run from 1 to n.
Original entry on oeis.org
6, 83, 611, 3185, 13195, 46228, 142324, 395148, 1007760, 2393430, 5349526, 11345698, 22985326, 44722580, 83947700, 152591660, 269449830, 463484385, 778439025, 1279189275, 2060359665, 3257868120, 5064210840, 7748481000, 11682325200, 17373286476, 25507265868
Offset: 6
Offset changed from 1 to 6, formulas and b-file adapted by
Bruno Berselli, Mar 29 2012
A112464
Absolute value of coefficient of term [x^(n-8)] in characteristic polynomial of maximum matrix A of size n X n, where n >= 8. Maximum matrix A(i,j) is MAX(i,j), where indices i and j run from 1 to n.
Original entry on oeis.org
8, 143, 1343, 8823, 45543, 196707, 739347, 2483547, 7599867, 21492097, 56794705, 141485305, 334639305, 755863605, 1638428805, 3422280285, 6912424485, 13541987610, 25799313210, 47907161610, 86882479530, 154161302130, 268050218130, 457369908930, 766795640130
Offset: 8
-
Table[(Times@@(n+Range[0,14])(15n+113))/16!,{n,30}] (* or *) CoefficientList[ Series[ (-8-7 x)/(-1+x)^17,{x,0,30}],x] (* Harvey P. Dale, Jul 24 2011 *)
Offset changed from 0 to 8, formulas and b-file adapted by
Bruno Berselli, Mar 29 2012
A112459
Absolute value of coefficient of term [x^(n-3)] in characteristic polynomial of maximum matrix A of size n X n, where n >= 3. Maximum matrix A(i,j) is MAX(i,j), where indices i and j run from 1 to n.
Original entry on oeis.org
3, 23, 98, 308, 798, 1806, 3696, 6996, 12441, 21021, 34034, 53144, 80444, 118524, 170544, 240312, 332367, 452067
Offset: 3
Offset changed from 1 to 3 and formulas adapted by
Bruno Berselli, Mar 29 2012
A112463
Absolute value of coefficient of term [x^(n-7)] in characteristic polynomial of maximum matrix A of size n X n, where n >= 7. Maximum matrix A(i,j) is MAX(i,j), where indices i and j run from 1 to n.
Original entry on oeis.org
7, 111, 930, 5480, 25500, 99756, 341088, 1046520, 2936070, 7638950, 18631932, 42969336, 94348300, 198354300, 401166000, 783610920, 1483311285, 2728813725, 4891144350, 8560278000, 14656684680, 24591569640, 40493836800, 65527390800, 104329399500, 163608855372
Offset: 7
Showing 1-5 of 5 results.