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A300784
Number of symmetrically distinct sublattices (supercells, superlattices, HNFs) of the tetragonal lattice of index n.
3
1, 5, 5, 17, 9, 29, 13, 51, 28, 53, 25, 115, 33, 81, 73, 153, 51, 176, 61, 219, 121, 161, 85, 403, 126, 213, 188, 353, 129, 473, 145, 487, 257, 335, 261, 776, 201, 405, 345, 815, 243, 801, 265, 731, 584, 569, 313, 1407, 398, 838, 559, 975, 393, 1256, 573, 1375
OFFSET
1,2
PROG
(Python)
# see A159842 for the definition of dc, fin, per, u, N, N2
def a(n):
return (dc(u, N, N2)(n) + 2*dc(fin(1, -1, 0, 4), u, u, N)(n)
+ 3*dc(fin(1, 3), u, u, N)(n)
+ 2*dc(fin(1, 1), u, u, per(0, 1, 0, -1))(n)) // 8
print([a(n) for n in range(1, 300)])
# Andrey Zabolotskiy, Jan 31 2020
CROSSREFS
KEYWORD
nonn
AUTHOR
Andrey Zabolotskiy, Mar 12 2018
EXTENSIONS
Terms a(11) and beyond from Andrey Zabolotskiy, Jan 31 2020
STATUS
approved