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A011820 Number of M-sequences m_0,...,m_4 with m_1 < n. 5
2, 6, 32, 203, 1144, 5345, 20926, 70506, 209746, 562727, 1384758, 3167606, 6807620, 13863904, 26941700, 50245591, 90358146, 157312324, 266040452, 438299013, 705186944, 1110395771, 1714352818, 2599444040, 3876530866 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
REFERENCES
S. Linusson, The number of M-sequences and f-vectors, Combinatorica, 19 (1999), 255-266.
LINKS
Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
FORMULA
a(n) = ( 4*n^10 +61*n^9 +408*n^8 +1722*n^7 +6132*n^6 +18333*n^5 +41072*n^4 +88748*n^3 +133824*n^2 +193536*n +241920 )/120960. - Frank Ellermann
G.f.: -x*(x^10 -11*x^9 +53*x^8 -147*x^7 +268*x^6 -298*x^5 +341*x^4 -149*x^3 +76*x^2 -16*x +2) / (x-1)^11. - Colin Barker, Feb 15 2014
PROG
(PARI) a(n)=n*(4*n^9+61*n^8+408*n^7+1722*n^6+6132*n^5+18333*n^4+41072*n^3 +88748*n^2 +133824*n+193536)/120960+2 \\ Charles R Greathouse IV, Dec 08 2011
CROSSREFS
Sequence in context: A055596 A318976 A109572 * A206300 A224884 A361354
KEYWORD
nonn,easy
AUTHOR
Svante Linusson (linusson(AT)math.kth.se)
STATUS
approved

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Last modified March 28 05:02 EDT 2024. Contains 371235 sequences. (Running on oeis4.)