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A064406 The accumulation of the number of even entries (A048967) over the number of odd entries (A001316) in row n of Pascal's triangle (A007318). 0
-1, -3, -4, -8, -7, -9, -10, -18, -13, -11, -8, -12, -7, -9, -10, -26, -13, -3, 8, 12, 25, 31, 38, 30, 47, 57, 68, 64, 77, 75, 74, 42, 71, 97, 124, 144, 173, 195, 218, 226, 259, 285, 312, 324, 353, 367, 382, 366, 407, 441, 476, 496, 533, 555, 578, 570, 611, 637, 664, 660, 689, 687, 686, 622, 683, 741, 800, 852, 913, 967 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

Tony Colledge, "Pascal's Triangle, A teacher's guide with blackline masters," Tarquin Publications, Norfolk, England, Second Edition, 1997, page 9.

LINKS

Table of n, a(n) for n=0..69.

EXAMPLE

a(4) = -7 because in the zeroth row there is one odd entry (-1), in the first row there are two odd entries (-3), in the second row there are two odd and one even entry (-4), in the third row there four odd entries (-8) and in the fourth row there are two odd entries and three entries (-7).

MATHEMATICA

f[ n_ ] := n + 1 - 2Sum[ Mod[ Binomial[ n, k ], 2 ], {k, 0, n} ]; Table[ Sum[ f[ k ], {k, 0, n} ], {n, 0, 100} ]

CROSSREFS

Sequence in context: A255700 A255697 A019972 * A299068 A049826 A310014

Adjacent sequences:  A064403 A064404 A064405 * A064407 A064408 A064409

KEYWORD

easy,sign

AUTHOR

Robert G. Wilson v, Sep 29 2001

STATUS

approved

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Last modified April 25 04:08 EDT 2019. Contains 322450 sequences. (Running on oeis4.)