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A072850 Number of permutations satisfying i-2<=p(i)<=i+4, i=1..n. 77
1, 2, 6, 18, 54, 146, 391, 1081, 3004, 8320, 22984, 63424, 175176, 484113, 1337721, 3695886, 10210702, 28209954, 77940078, 215337554, 594943087, 1643728129, 4541349672, 12547013504, 34665373744, 95774808224, 264610227072 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

R. H. Hardin, Table of n, a(n) for n=1..400

Vladimir Baltic, On the number of certain types of strongly restricted permutations, Applicable Analysis and Discrete Mathematics Vol. 4, No 1 (April, 2010), 119-135

FORMULA

Recurrence: a(n) = a(n - 1) + 2*a(n - 2) + 4*a(n - 3) + 6*a(n - 4) + 10*a(n - 5) + 12*a(n - 6) - 4*a(n - 7) - 6*a(n - 8) - 6*a(n - 9) - 2*a(n - 11) - 2*a(n - 12) + a(n - 14) + a(n - 15).

G.f.: - (x^9 + x^7 - 2*x^6 - 2*x^4 - 2*x^3 - x^2 + 1)/(x^15 + x^14 - 2*x^12 - 2*x^11 - 6*x^9 - 6*x^8 - 4*x^7 + 12*x^6 + 10*x^5 + 6*x^4 + 4*x^3 + 2*x^2 + x - 1)

CROSSREFS

Cf. A002524..A002529, A072827, A072850..A072856, A079955..A080014.

Sequence in context: A120010 A132790 A214799 * A254941 A182899 A160175

Adjacent sequences:  A072847 A072848 A072849 * A072851 A072852 A072853

KEYWORD

nonn

AUTHOR

Vladimir Baltic, Jul 25 2002

STATUS

approved

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Last modified November 19 03:51 EST 2017. Contains 294912 sequences.