login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A006028 Weight distribution of [ 128,99,8 ] 4th order Reed-Muller code RM(4,7). 1
1, 0, 0, 0, 188976, 0, 148157184, 5805342720, 352501184760, 14090340827136, 445990551166720, 11148730324353024, 224814298345622160, 3704888469231108096, 50486579825291883008, 574502111223143792640, 5505259862572668584988 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..16.

N. Heninger, E. M. Rains and N. J. A. Sloane, On the Integrality of n-th Roots of Generating Functions, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.

M. Terada, J. Asatani and T. Koumoto, Weight Distribution

EXAMPLE

u^128 + 188976*u^120*v^8 + 148157184*u^116*v^12 + 5805342720*u^114*v^14 +

352501184760*u^112*v^16 + 14090340827136*u^110*v^18 + 445990551166720*u^108*v^20 +

11148730324353024*u^106*v^22 + 224814298345622160*u^104*v^24 +

3704888469231108096*u^102*v^26 + 50486579825291883008*u^100*v^28 +

574502111223143792640*u^98*v^30 + 5505259862572668584988*u^96*v^32 +

44748635843913605775360*u^94*v^34 + 310470295870406870385152*u^92*v^36 +

1848689416882328323358720*u^90*v^38 + 9492309127074743252712240*u^88*v^40 +

42202740208778987487756288*u^86*v^42 + 163056041735354833829648640*u^84*v^44 +

549191653630903808742490112*u^82*v^46 + 1616902022777436781296463560*u^80*v^48 +

4170947258549850556429074432*u^78*v^50 + 9445968792148616532912076032*u^76*v^52 +

18812726104570634921033072640*u^74*v^54 + 32995567020448757300816680976*u^72*v^56 +

51020368602507380313683656704*u^70*v^58 + 69612536825673328395392461824*u^68*v^60 +

83858994648178551820509904896*u^66*v^62 + 89224971989924438343276144710*u^64*v^64 +

83858994648178551820509904896*u^62*v^66 + 69612536825673328395392461824*u^60*v^68 +

51020368602507380313683656704*u^58*v^70 + 32995567020448757300816680976*u^56*v^72 +

18812726104570634921033072640*u^54*v^74 + 9445968792148616532912076032*u^52*v^76 +

4170947258549850556429074432*u^50*v^78 + 1616902022777436781296463560*u^48*v^80 +

549191653630903808742490112*u^46*v^82 + 163056041735354833829648640*u^44*v^84 +

42202740208778987487756288*u^42*v^86 + 9492309127074743252712240*u^40*v^88 +

1848689416882328323358720*u^38*v^90 + 310470295870406870385152*u^36*v^92 +

44748635843913605775360*u^34*v^94 + 5505259862572668584988*u^32*v^96 +

574502111223143792640*u^30*v^98 + 50486579825291883008*u^28*v^100 +

3704888469231108096*u^26*v^102 + 224814298345622160*u^24*v^104 +

11148730324353024*u^22*v^106 + 445990551166720*u^20*v^108 + 14090340827136*u^18*v^110 +

352501184760*u^16*v^112 + 5805342720*u^14*v^114 + 148157184*u^12*v^116 + 188976*u^8*v^120 + v^128.

i A_i

0 1

8 188976

12 148157184

14 5805342720

16 352501184760

18 14090340827136

20 445990551166720

22 11148730324353024

24 224814298345622160

26 3704888469231108096

28 50486579825291883008

30 574502111223143792640

32 5505259862572668584988

34 44748635843913605775360

36 310470295870406870385152

38 1848689416882328323358720

40 9492309127074743252712240

42 42202740208778987487756288

44 163056041735354833829648640

46 549191653630903808742490112

48 1616902022777436781296463560

50 4170947258549850556429074432

52 9445968792148616532912076032

54 18812726104570634921033072640

56 32995567020448757300816680976

58 51020368602507380313683656704

60 69612536825673328395392461824

62 83858994648178551820509904896

64 89224971989924438343276144710

66 83858994648178551820509904896

68 69612536825673328395392461824

70 51020368602507380313683656704

72 32995567020448757300816680976

74 18812726104570634921033072640

76 9445968792148616532912076032

78 4170947258549850556429074432

80 1616902022777436781296463560

82 549191653630903808742490112

84 163056041735354833829648640

86 42202740208778987487756288

88 9492309127074743252712240

90 1848689416882328323358720

92 310470295870406870385152

94 44748635843913605775360

96 5505259862572668584988

98 574502111223143792640

100 50486579825291883008

102 3704888469231108096

104 224814298345622160

106 11148730324353024

108 445990551166720

110 14090340827136

112 352501184760

114 5805342720

116 148157184

120 188976

128 1

PROG

(MAGMA) C:=ReedMullerCode(4, 7); w1<u, v>:=WeightEnumerator(C);

CROSSREFS

Cf. A006006, A010083.

Sequence in context: A186137 A233715 A110069 * A257756 A206018 A233873

Adjacent sequences:  A006025 A006026 A006027 * A006029 A006030 A006031

KEYWORD

nonn,fini

AUTHOR

N. J. A. Sloane.

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 6 15:13 EST 2021. Contains 349563 sequences. (Running on oeis4.)