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A226583 Smallest number of integer sided squares needed to tile a 10 X n rectangle. 3
0, 10, 5, 6, 4, 2, 4, 6, 5, 6, 1, 6, 5, 7, 5, 3, 5, 7, 6, 7, 2, 7, 6, 8, 6, 4, 6, 8, 7, 8, 3, 8, 7, 9, 7, 5, 7, 9, 8, 9, 4, 9, 8, 10, 8, 6, 8, 10, 9, 10, 5, 10, 9, 11, 9, 7, 9, 11, 10, 11, 6, 11, 10, 12, 10, 8, 10, 12, 11, 12, 7, 12, 11, 13, 11, 9, 11, 13, 12 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (0,1,0,0,1,0,-1)

FORMULA

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

a(n) = 1 + a(n-10) for n>12.

EXAMPLE

a(22) = 6:

._._._._._._._._._._._._._._._._._._._._._._.

|                   |           |           |

|                   |           |           |

|                   |           |           |

|                   |           |           |

|                   |           |           |

|                   |___________|___________|

|                   |       |       |       |

|                   |       |       |       |

|                   |       |       |       |

|___________________|_______|_______|_______|

MAPLE

a:= n-> `if`(n in [1, 2], 10/n, iquo(n, 10, 'r')+

    [0, 5, 4, 6, 4, 2, 4, 6, 5, 6][r+1]):

seq(a(n), n=0..100);

CROSSREFS

Row m=10 of A113881, A219158.

Sequence in context: A080461 A066578 A097327 * A007272 A061280 A030071

Adjacent sequences:  A226580 A226581 A226582 * A226584 A226585 A226586

KEYWORD

nonn,easy

AUTHOR

Alois P. Heinz, Jun 12 2013

STATUS

approved

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Last modified February 18 15:04 EST 2020. Contains 332019 sequences. (Running on oeis4.)