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 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:=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

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Last modified November 29 03:03 EST 2023. Contains 367422 sequences. (Running on oeis4.)