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A176276 Worpitzky(n, k)Harmonic(k), triangle read by rows. 1
0, 0, 1, 0, 3, 3, 0, 7, 18, 11, 0, 15, 75, 110, 50, 0, 31, 270, 715, 750, 274, 0, 63, 903, 3850, 7000, 5754, 1764, 0, 127, 2898, 18711, 52500, 72884, 49392, 13068, 0, 255, 9075, 85470, 347550, 725004, 814968, 470448, 109584, 0, 511, 27990, 375155 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..48.

Peter Luschny, A sequence transformation and the Bernoulli numbers.

FORMULA

T(n, k) = Abs(Stirling1(k+1, 2) Stirling2(n+1, k+1))

EXAMPLE

0,

0, 1,

0, 3, 3,

0, 7, 18, 11,

0, 15, 75, 110, 50,

0, 31, 270, 715, 750, 274,

MAPLE

T176276 := proc(n, k) local W, H;

W := proc(n, k) stirling2(n+1, k+1)*k! end:

H := proc(n) local i; add(1/i, i=1..n) end: # H(0) = 0 (empty sum convention)

W(n, k)*H(k) end:

MATHEMATICA

t[n_, k_] := StirlingS2[n+1, k+1]*k!*HarmonicNumber[k]; Table[t[n, k], {n, 0, 9}, {k, 0, n}] // Flatten (* Jean-Fran├žois Alcover, Jul 29 2013 *)

CROSSREFS

A176277, A028246.

Sequence in context: A134813 A164107 A093755 * A200701 A275408 A169670

Adjacent sequences:  A176273 A176274 A176275 * A176277 A176278 A176279

KEYWORD

easy,nonn,tabl

AUTHOR

Peter Luschny, Apr 14 2010

STATUS

approved

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Last modified September 22 00:25 EDT 2017. Contains 292326 sequences.