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A152074 Rows sums of triangle A152072. 2
1, 3, 6, 11, 18, 30, 46, 73, 111, 170, 254, 392, 574, 868, 1294, 1933, 2834, 4267, 6228, 9312, 13674, 20162, 29528, 44132, 63945, 94390, 138562, 203706, 296436, 438976, 635776, 936263, 1367034, 1997200, 2907862, 4290047, 6192784, 9070744, 13248374 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

From David W. Wilson, Jul 07 2016: (Start)

Empirically, it appears that

lim n->inf a(n+3)/a(n) = 3.

lim n->inf a(3n+1)/a(3n) = 312/217.

lim n->inf a(3n+2)/a(3n+1) = 75/52.

lim n->inf a(3n+3)/a(3n+2) = 217/150. (End)

REFERENCES

David W. Wilson, Posting to Sequence Fans mailing List, Mar 11 2009

LINKS

David W. Wilson and Vaclav Kotesovec, Table of n, a(n) for n = 1..2000 (first 1000 terms from David W. Wilson)

MAPLE

A152072 := proc(n, k) mul(floor((n+i)/k), i=0..k-1) ; end: A152074 := proc(n) add( A152072(n, k), k=1..n) ; end: seq(A152074(n), n=1..80) ; # R. J. Mathar, Sep 18 2009

MATHEMATICA

Table[Total@ Map[Product[Floor[(n + i)/#], {i, 0, # - 1}] &, Range@ n], {n, 40}] (* Michael De Vlieger, Jul 09 2016, after Robert G. Wilson v at A152072 *)

CROSSREFS

Sequence in context: A265075 A147079 A281572 * A123629 A212484 A279100

Adjacent sequences:  A152071 A152072 A152073 * A152075 A152076 A152077

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Sep 16 2009

EXTENSIONS

More terms from R. J. Mathar, Sep 18 2009

STATUS

approved

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Last modified October 21 08:47 EDT 2019. Contains 328292 sequences. (Running on oeis4.)