The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A134185 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A134185

Hankel transform of a transform of the central binomial coefficients A001405.
(history; published version)

#8 by Joerg Arndt at Tue Jun 25 01:06:05 EDT 2019

STATUS

reviewed

approved

#7 by Michel Marcus at Tue Jun 25 00:32:37 EDT 2019

STATUS

proposed

reviewed

#6 by Wesley Ivan Hurt at Mon Jun 24 22:00:36 EDT 2019

STATUS

editing

proposed

#5 by Wesley Ivan Hurt at Mon Jun 24 22:00:17 EDT 2019

CROSSREFS

Cf. A001405, A134184.

STATUS

proposed

editing

#4 by Jon E. Schoenfield at Mon Jun 24 21:52:38 EDT 2019

STATUS

editing

proposed

#3 by Jon E. Schoenfield at Mon Jun 24 21:52:36 EDT 2019

FORMULA

a(n) = ((1/2 - 1/sqrt(2))*cos(3*piPi*n/4) + (1/2 + 1/sqrt(2))*cos(piPi*n/4))*2^ceiling(combbinomial(n+1,2)/2).

STATUS

approved

editing

#2 by Russ Cox at Fri Mar 30 18:59:20 EDT 2012

AUTHOR

_Paul Barry (pbarry(AT)wit.ie), _, Oct 11 2007

Discussion

Fri Mar 30

18:59

OEIS Server: https://oeis.org/edit/global/287

#1 by N. J. A. Sloane at Sat Nov 10 03:00:00 EST 2007

NAME

Hankel transform of a transform of the central binomial coefficients A001405.

DATA

1, 2, 0, -8, -32, -256, 0, 16384, 262144, 8388608, 0, -8589934592, -549755813888, -70368744177664, 0, 1152921504606846976, 295147905179352825856, 151115727451828646838272, 0, -39614081257132168796771975168

OFFSET

0,2

COMMENTS

Hankel transform of A134184.

FORMULA

a(n)=((1/2-1/sqrt(2))*cos(3*pi*n/4)+(1/2+1/sqrt(2))*cos(pi*n/4))*2^ceiling(comb(n+1,2)/2)

KEYWORD

easy,sign

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Oct 11 2007

STATUS

approved