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A105374 4n^3 + 4n. 3
0, 8, 40, 120, 272, 520, 888, 1400, 2080, 2952, 4040, 5368, 6960, 8840, 11032, 13560, 16448, 19720, 23400, 27512, 32080, 37128, 42680, 48760, 55392, 62600, 70408, 78840, 87920, 97672, 108120, 119288, 131200, 143880, 157352, 171640, 186768 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

For n>1, the number of straight lines with n points in a 4-dimensional hypercube of with n points on each edge is 4n^3+12n^2+16n+8, i.e. A105374(n+1).

FORMULA

a(n) = A002522(n)*A008586(n).

EXAMPLE

a(5) = 4*5^3 + 4*5 = 500+20 = 520.

CROSSREFS

Essentially row or column of A102728 and A105374.

Sequence in context: A014642 A143943 A135796 * A162668 A191903 A028596

Adjacent sequences:  A105371 A105372 A105373 * A105375 A105376 A105377

KEYWORD

easy,nonn

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), Apr 02 2005

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Last modified February 17 05:54 EST 2012. Contains 205985 sequences.