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A283027 Number of inequivalent 4 X 4 matrices with entries in {1,2,3,..,n} up to rotations. 8
0, 1, 16456, 10763361, 1073758336, 38147070625, 705277897416, 8308234084801, 70368748374016, 463255057977921, 2500000025005000, 11487432519490081, 46221064831264896, 166354152499741921, 544488334821309256, 1642102089568970625, 4611686019501162496 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Cycle index of cyclic group C4 acting on the 16 entries is (2s(4)^4 + s(2)^8 + s(1)^16)/24.

LINKS

Table of n, a(n) for n=0..16.

FORMULA

a(n) = n^4*(n^4 + 1)*(n^8 - n^4 + 2)/4.

EXAMPLE

For n=2 we get a(2)=16456 inequivalent 4x4 binary matrices up to rotations.

MATHEMATICA

Table[n^4*(n^4 + 1)*(n^8 - n^4 + 2)/4, {n, 0, 30}]

PROG

(PARI) a(n) = n^4*(n^4 + 1)*(n^8 - n^4 + 2)/4; \\ Indranil Ghosh, Feb 27 2017

(Python) def A283027(n) : return n**4*(n**4 + 1)*(n**8 - n**4 + 2)/4 # Indranil Ghosh, Feb 27 2017

CROSSREFS

Cf. A282612, A282614. A283026, A283028, A283029, A283030, A283032, A283033. A283031 (5x5 version). A282613 (3x3 version). A006528 (2x2 version).

Sequence in context: A250844 A076166 A168665 * A031829 A057680 A157796

Adjacent sequences:  A283024 A283025 A283026 * A283028 A283029 A283030

KEYWORD

nonn,easy

AUTHOR

David Nacin, Feb 27 2017

STATUS

approved

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Last modified December 12 06:05 EST 2017. Contains 295937 sequences.