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Search: id:A089938
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| A089938 |
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Number of 7 X n matrices with entries {0,1} without adjacent 0's in any row or column. 7th row of A089934. |
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+0
6
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| 34, 577, 10897, 200798, 3729091, 69050253, 1280128950, 23720149995, 439621976195, 8147000813446, 150985649174085, 2798109826697003, 51855860689753372, 961012671564107667, 17809889025037476097
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Row/columns 1 through 7 are A000045, A001333, A051736, A051737, A089936, A089937, A089938.
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FORMULA
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ogf(X)= - (X - 1)*(X^19 + 10*X^18 - 58*X^17 - 576*X^16 + 651*X^15 + 8054*X^14 - 5381*X^13 - 42910*X^12 + 32530*X^11 + 90357*X^10 - 90813*X^9 - 52366*X^8 + 79558*X^7 - 8263*X^6 - 13918*X^5 + 2501*X^4 + 894*X^3 - 94*X^2 - 26*X - 1)/(X^21 + 9*X^20 - 87*X^19 - 546*X^18 + 2227*X^17 + 9369*X^16 - 25564*X^15 - 54187*X^14 + 139011*X^13 + 100779*X^12 - 340142*X^11 + 21372*X^10 + 308107*X^9 - 127405*X^8 - 82823*X^7 + 48558*X^6 + 6975*X^5 - 5659*X^4 - 210*X^3 + 203*X^2 + 9*X - 1)
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CROSSREFS
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Cf. A000045, A001333, A051736, A051737, A089936, A089937, A089934.
Sequence in context: A020929 A133720 A010950 this_sequence A126924 A035712 A010986
Adjacent sequences: A089935 A089936 A089937 this_sequence A089939 A089940 A089941
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KEYWORD
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nonn
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AUTHOR
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Marc LeBrun (mlb(AT)well.com), Nov 15 2003
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