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A052264 5 X n binary matrices. 5
1, 6, 34, 190, 1053, 5624, 28576, 136758, 613894, 2583164, 10208743, 38013716, 133872584, 447620002, 1426354541, 4346885204, 12710830673, 35768703586, 97125981825, 255111287298, 649598148384, 1606754306778, 3867515638005 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..22.

Vladeta Jovovic, Binary matrices up to row and column permutations

Míšek [Misek], Bohuslav: O počtu tříd silně ekvivalentních incidenčních matic. (Czech) [On the number of classes of strongly equivalent incidence matrices]. Časopis pro pěstování matematiky, vol. 89 (1964), issue 2, pp. 211-218.

FORMULA

G.f.: (x^68 - 2*x^67 + 10*x^66 + 32*x^65 + 175*x^64 + 794*x^63 + 3441*x^62 + 13186*x^61 + 46027*x^60 + 146118*x^59 + 427347*x^58 + 1155432*x^57 + 2912873*x^56 + 6875608*x^55 + 15281029*x^54 + 32094658*x^53 + 63945531*x^52 + 121210914*x^51 + 219194198*x^50 + 378998758*x^49 + 627863648*x^48 + 998282344*x^47 + 1525746624*x^46 + 2244502676*x^45 + 3181886869*x^44 + 4351201210*x^43 + 5744918381*x^42 + 7328807372*x^41 + 9039504349*x^40 + 10785767638*x^39 + 12455264802*x^38 + 13925287384*x^37 + 15077477135*x^36 + 15812782150*x^35 + 16065602576*x^34 + 15812782150*x^33 + 15077477135*x^32 + 13925287384*x^31 + 12455264802*x^30 + 10785767638*x^29 + 9039504349*x^28 + 7328807372*x^27 + 5744918381*x^26 + 4351201210*x^25 + 3181886869*x^24 + 2244502676*x^23 + 1525746624*x^22 + 998282344*x^21 + 627863648*x^20 + 378998758*x^19 + 219194198*x^18 + 121210914*x^17 + 63945531*x^16 + 32094658*x^15 + 15281029*x^14 + 6875608*x^13 + 2912873*x^12 + 1155432*x^11 + 427347*x^10 + 146118*x^9 + 46027*x^8 + 13186*x^7 + 3441*x^6 + 794*x^5 + 175*x^4 + 32*x^3 + 10*x^2 - 2*x + 1)/((x^6 - 1)^2*(x^4 + x^3 + x^2 + x + 1)^6*(x^3 - x^2 + x - 1)^6 * (x^2 + x + 1)^6*(x + 1)^10*(x - 1)^24).

CROSSREFS

Cf. A002623, A002727, A006148.

A diagonal of the array A(m,n) described in A028657. - N. J. A. Sloane, Sep 01 2013

Sequence in context: A163350 A320746 A320749 * A049608 A244937 A326656

Adjacent sequences:  A052261 A052262 A052263 * A052265 A052266 A052267

KEYWORD

easy,nonn

AUTHOR

Vladeta Jovovic, Feb 04 2000

STATUS

approved

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Last modified October 14 16:40 EDT 2019. Contains 328022 sequences. (Running on oeis4.)