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A183050 Sums of knight's moves to points as in A183049. 4
0, 3, 4, 5, 10, 15, 18, 23, 32, 37, 46, 57, 62, 75, 90, 95, 110, 129, 136, 153, 174, 183, 204, 227, 236, 261, 288, 297, 324, 355, 366, 395, 428, 441, 474, 509, 522, 559, 598, 611, 650, 693, 708, 749, 794, 811, 856, 903, 920, 969, 1020 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..50.

FORMULA

See A065775.

Empirical g.f.: x*(2*x^12-2*x^11+2*x^10-4*x^9+2*x^8-x^7-x^6-4*x^4-4*x^2-x-3) / ((x-1)^3*(x^2+1)*(x^2+x+1)^2). - Colin Barker, May 04 2014

EXAMPLE

a(3)=5=3+1+1, these summands being the least numbers of knight's moves from (0,0) to the points (3,0), (2,1), (1,2) on the 3rd diagonal in the 1st quadrant - which is 1/4 of a 3rd concentric square about the origin.  See A183052 for sums over the concentric squares.

CROSSREFS

Cf. A065775, A183049, A183051.

Sequence in context: A195131 A240793 A079351 * A176848 A058615 A082612

Adjacent sequences:  A183047 A183048 A183049 * A183051 A183052 A183053

KEYWORD

nonn

AUTHOR

Clark Kimberling, Dec 22 2010

STATUS

approved

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Last modified October 21 09:55 EDT 2021. Contains 348150 sequences. (Running on oeis4.)