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A179928 Row sums of A179927, the triangle of centered orthotopic numbers. 2
1, 3, 6, 13, 32, 89, 276, 943, 3514, 14159, 61242, 282633, 1384684, 7170701, 39105992, 223867419, 1341434134, 8392364851, 54696456734 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..18.

MAPLE

A179928 := proc(n) local j; add(A179927(n, j), j=0..n) end;

MATHEMATICA

e[0, _] = 1; e[n_, x_] := e[n, x] = x (1 - x) D[e[n - 1, x], x] + e[n - 1, x] (1 + (n - 1) x) // Expand;

h[n_, x_] := e[n, x] (1 + x)/(1 - x)^(n + 1);

T[n_, k_] := SeriesCoefficient[h[n - k, x], {x, 0, k}];

a[n_] := Sum[T[n, k], {k, 0, n}];

Table[a[n], {n, 0, 18}] (* Jean-Fran├žois Alcover, Jul 11 2019 *)

CROSSREFS

Cf. A179927

Sequence in context: A162483 A187780 A273974 * A026538 A201951 A104448

Adjacent sequences:  A179925 A179926 A179927 * A179929 A179930 A179931

KEYWORD

nonn

AUTHOR

Peter Luschny, Aug 02 2010

STATUS

approved

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Last modified October 14 07:00 EDT 2019. Contains 327995 sequences. (Running on oeis4.)